Resourcesdown chevron
Testimonials
Plans
Sign in
Sign up
Resourcesright arrow
Testimonials
Plans
Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

A high school's graduation rate is defined to be the percentage of the senior class that graduates. Last year 406 of Sagamore High School's 452 seniors graduated. This year the school expects the previous year's graduation rate to increase by approximately 2 percentage points. If there are 436 students in this year's senior class, which of the following best approximates the number of seniors that Sagamore High School expects to graduate this year? Choose 1 answer: (A) 390 students (B) 400 students (C) 410 students (D) 420 students

A high school's graduation rate is defined to be the percentage of the senior class that graduates. Last year 406406 of Sagamore High School's 452452 seniors graduated. This year the school expects the previous year's graduation rate to increase by approximately 22 percentage points. If there are 436436 students in this year's senior class, which of the following best approximates the number of seniors that Sagamore High School expects to graduate this year?\newlineChoose 11 answer:\newline(A) 390390 students\newline(B) 400400 students\newline(C) 410410 students\newline(D) 420420 students

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Algebra 1right chevron icon
Solve a system of equations using any method: word problemsright chevron icon

Full solution

Q. A high school's graduation rate is defined to be the percentage of the senior class that graduates. Last year 406406 of Sagamore High School's 452452 seniors graduated. This year the school expects the previous year's graduation rate to increase by approximately 22 percentage points. If there are 436436 students in this year's senior class, which of the following best approximates the number of seniors that Sagamore High School expects to graduate this year?\newlineChoose 11 answer:\newline(A) 390390 students\newline(B) 400400 students\newline(C) 410410 students\newline(D) 420420 students
  1. Calculate Graduation Rate: Calculate last year's graduation rate.\newlineTo find the graduation rate for last year, divide the number of students who graduated by the total number of seniors and then multiply by 100100 to convert it to a percentage.\newlineGraduation rate = Number of graduatesTotal number of seniors×100\frac{\text{Number of graduates}}{\text{Total number of seniors}} \times 100\newlineGraduation rate = 406452×100\frac{406}{452} \times 100
  2. Perform Calculation: Perform the calculation for last year's graduation rate.\newlineGraduation rate = 406452×100\frac{406}{452} \times 100\newlineGraduation rate ≈89.823%\approx 89.823\%
  3. Increase Graduation Rate: Increase the graduation rate by 22 percentage points for this year's expectation.\newlineExpected graduation rate this year == Last year's graduation rate ++ 22 percentage points\newlineExpected graduation rate this year =89.823%+2%= 89.823\% + 2\%\newlineExpected graduation rate this year =91.823%= 91.823\%
  4. Calculate Expected Graduates: Calculate the expected number of graduates for this year.\newlineTo find the expected number of graduates, multiply the expected graduation rate by the total number of seniors and then divide by 100100 to convert from a percentage to a number.\newlineExpected number of graduates = Expected graduation rate×Total number of seniors100\frac{\text{Expected graduation rate} \times \text{Total number of seniors}}{100}\newlineExpected number of graduates = 91.823%×436100\frac{91.823\% \times 436}{100}
  5. Perform Calculation: Perform the calculation for the expected number of graduates.\newlineExpected number of graduates = 91.823%×436100\frac{91.823\% \times 436}{100}\newlineExpected number of graduates ≈400.34\approx 400.34
  6. Round Expected Graduates: Round the expected number of graduates to the nearest whole number.\newlineSince we cannot have a fraction of a student, we round to the nearest whole number.\newlineExpected number of graduates ≈400\approx 400 students

More problems from Solve a system of equations using any method: word problems

Question
Solve using elimination.\newlinex+6y=−15x + 6y = -15\newline−2x+6y=12-2x + 6y = 12\newline(_,_)(\_,\_)
Get tutor helpright-arrow

Posted 5 months ago

Question
Is (1,1)(1,1) a solution to this system of equations?\newline8x+y=98x + y = 9\newline6x+12y=186x + 12y = 18\newlineChoices:\newline[[yes]\newline[no]]
Get tutor helpright-arrow

Posted 5 months ago

Question
How many solutions does the system of equations below have?\newliney = x − 77\newliney = x − 77\newlineChoices:\newline[A]no solution\text{[A]no solution}\newline[B]one solution\text{[B]one solution}\newline[C]infinitely many solutions\text{[C]infinitely many solutions}
Get tutor helpright-arrow

Posted 7 months ago

Question
Which describes the system of equations below?\newliney=17x−10y = \frac{1}{7}x - 10\newliney=17x−10y = \frac{1}{7}x - 10\newlineChoices:\newline[A]consistent and independent\text{[A]consistent and independent}\newline[B]consistent and dependent\text{[B]consistent and dependent}\newline[C]inconsistent\text{[C]inconsistent}
Get tutor helpright-arrow

Posted 5 months ago

Question
Solve using substitution.\newliney=−5y = -5\newline−4x+3y=17-4x + 3y = 17\newline(_____, _____)
Get tutor helpright-arrow

Posted 5 months ago

Question
Write a system of equations to describe the situation below, solve using substitution, and fill in the blanks.\newlineLast Wednesday, two friends met up after school to read the book they were both assigned in Literature class. Bryan can read 22 pages per minute, and he had already read 9898 pages. Jayla, who has a reading speed of 33 pages per minute, had read 4848 pages. Eventually they had read the same number of pages. How long did that take? How many pages had each of them read?\newlineAfter ____\_\_\_\_ minutes, Bryan and Jayla had each read ____\_\_\_\_ pages.
Get tutor helpright-arrow

Posted 5 months ago

Question
Write a system of equations to describe the situation below, solve using elimination, and fill in the blanks.\newlineAt the Castroville Ice Cream Parlor, one group of friends ordered 11 small serving of ice cream and 33 large servings of ice cream for 2020. Another group of friends ordered 11 small serving of ice cream and 44 large servings of ice cream for 2626. How much does the ice cream cost?\newlineThe ice cream costs `\$`_____ for a small serving and `\$`_____ for a large serving.
Get tutor helpright-arrow

Posted 5 months ago

Question
Solve.\newliney=−1y = -1\newline−2x−4y=8-2x - 4y = 8\newline(_____ , _____)
Get tutor helpright-arrow

Posted 7 months ago

Question
Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.\newlineThere are two mystery numbers. The sum of 33 times the first number and 33 times the second number is −18-18. The sum of 22 times the first number and 33 times the second number is −13-13. What are the two numbers?\newlineThe first number is ______ , and the second number is ______.
Get tutor helpright-arrow

Posted 7 months ago

Question
A teacher purchased 300300 colored pencils for an upcoming project. The pencils she ordered come in packs of 2020 and packs of 3030. She ordered 1414 packs in all. Write a system of equations to find the number of 2020-pencil packs (x)(x) and 3030-pencil packs (y)(y) the art teacher ordered.
Get tutor helpright-arrow

Posted 8 months ago

View all (187)

Related topics

Algebra - Order of OperationsAlgebra - Distributive Property`X` and `Y` AxesGeometry - Scalene TriangleCommon MultipleGeometry - Quadrant