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:

C=290+155 h A team of painters is hired to paint the exterior of a museum. The total cost, C, in dollars, incurred by the museum for h hours of painting is given by the equation. What is the best interpretation of 155 in the equation? Choose 1 answer: A The total cost can be at most $155. B It takes the team 155 hours to paint the exterior. (C) Each additional hour of painting the exterior costs $155. (D) $155 is the base cost regardless of how many hours it takes to paint the exterior.

A team of painters is hired to paint the exterior of a museum. The total cost, CC, in dollars, incurred by the museum for hh hours of painting is given by the equation C=290+155hC=290+155h. What is the best interpretation of 155155 in the equation?\newlineChoose 11 answer:\newline(A) The total cost can be at most $155\$155.\newline(B) It takes the team 155155 hours to paint the exterior.\newline(C) Each additional hour of painting the exterior costs $155\$155.\newline(D) $155\$155 is the base cost regardless of how many hours it takes to paint the exterior.

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Grade 7right chevron icon
Evaluate two-variable equations: word problemsright chevron icon

Full solution

Q. A team of painters is hired to paint the exterior of a museum. The total cost, CC, in dollars, incurred by the museum for hh hours of painting is given by the equation C=290+155hC=290+155h. What is the best interpretation of 155155 in the equation?\newlineChoose 11 answer:\newline(A) The total cost can be at most $155\$155.\newline(B) It takes the team 155155 hours to paint the exterior.\newline(C) Each additional hour of painting the exterior costs $155\$155.\newline(D) $155\$155 is the base cost regardless of how many hours it takes to paint the exterior.
  1. Analyze Equation Components: Analyze the given equation C=290+155hC = 290 + 155h to understand the components of the cost.\newlineThe equation represents the total cost (CC) as a function of the number of hours (hh) spent painting. The equation is in the form of a linear equation y=mx+by = mx + b, where yy is the total cost, mm is the cost per hour, xx is the number of hours, and bb is the base cost.
  2. Interpret Number 155155: Identify the meaning of the number 155155 in the context of the equation.\newlineIn the equation C=290+155hC = 290 + 155h, the number 155155 is multiplied by the number of hours (h)(h). This suggests that 155155 represents the additional cost for each hour of painting.
  3. Compare Interpretations: Compare the interpretations given in the options with the analysis of the equation.\newlineOption A suggests that the total cost can be at most $155\$155, which is incorrect because 155155 is multiplied by the number of hours, not a maximum value.\newlineOption B suggests it takes the team 155155 hours to paint the exterior, which is incorrect because 155155 is a rate, not a total time.\newlineOption C suggests that each additional hour of painting the exterior costs $155\$155, which aligns with our analysis of the equation.\newlineOption D suggests that $155\$155 is the base cost regardless of how many hours it takes to paint the exterior, which is incorrect because the base cost in the equation is 290290, not 155155.

More problems from Evaluate two-variable equations: word problems

Question
This equation shows how the distance traveled by a car is related to the time spent driving. d=50t+10 d = 50t + 10 . The variable t t represents the time in hours, and the variable d d represents the distance in miles. How far does the car travel in 2 2 hours?
Get tutor helpright-arrow

Posted 10 months ago

Question
The equation shows how the cost of buying pencils is related to the number of pencils purchased. \newline c=0.5p+2 c= 0.5p+2 \newlineThe variable p p represents the number of pencils, and the variable c c represents the total cost. How much does it cost to buy 10 10 pencils?
Get tutor helpright-arrow

Posted 10 months ago

Question
This equation shows how the total score in a game is related to the number of points scored per level. s=100l+250 s = 100l + 250 . The variable l l represents the levels completed, and the variable s s represents the total score. What is the total score after completing 3 3 levels?
Get tutor helpright-arrow

Posted 7 months ago

Question
The equation shows how the amount of paint needed is related to the area to be painted. p=2a+5 p = 2a + 5 . The variable a a represents the area in square meters, and the variable p p represents the amount of paint in liters. How much paint is needed for an area of 8 8 square meters?
Get tutor helpright-arrow

Posted 7 months ago

Question
This equation shows how the total bill for a meal is related to the number of people sharing the meal. \newline b=15n+35 b = 15n + 35 \newlineThe variable n n represents the number of people, and the variable b b represents the total bill. What is the total bill for a meal shared by 4 4 people?
Get tutor helpright-arrow

Posted 10 months ago

Question
Poppy the dog weighs p p pounds, and Yumi the cat weighs y y pounds. If Poppy weighs 3636 more pounds than Yumi does, which of the following equations correctly describes the relationship between their weights?\newlineChoose 11 answer:\newline(A) p+y=36 p+y=36 \newline(B) p+36=y p+36=y \newline(C) p−y=36 p-y=36 \newline(D) y−p=36 y-p=36
Get tutor helpright-arrow

Posted 7 months ago

Question
Calvin and Melvin are two of Santa's elves. The number of toys they build is given by 11c+8m 11 c+8 m , where c c is the number of candy canes Calvin eats for breakfast and m m is the number of candy canes Melvin eats for breakfast. How many toys do they build when Calvin eats 55 candy canes and Melvin eats 33 candy canes for breakfast?
Get tutor helpright-arrow

Posted 7 months ago

Question
2w+4 2 w+4 \newlineCarly is cutting a piece of paper stock based on the width of a photo. The expression above describes the length of the paper stock, in inches, for a photo that is w w inches wide. If the photo is 88.55 inches wide, what is the length of the paper stock in inches?
Get tutor helpright-arrow

Posted 7 months ago

Question
Calvin and Melvin are two of Santa's elves. The number of toys they build is given by 11c+8m 11 c+8 m where c c is the number of candy canes Calvin eats for breakfast and m m is the number of candy canes Melvin eats for breakfast.\newlineHow many toys do they build when Calvin eats 55 candy canes and Melvin eats 33 candy canes for breakfast?\newlinetoys
Get tutor helpright-arrow

Posted 8 months ago

Question
The approval rating of a certain politician is changing at a rate of r(t) r(t) percent of the population per month (where t t is the time in months).\newlineWhat does ∫03r(t)dt \int_{0}^{3} r(t) d t represent?\newlineChoose 11 answer:\newline(A) The rate of change of the approval rating of the politician when t=3 t=3 months\newline(B) The average rate of change of the approval rating during the first three months\newline(C) The change in the percent of the population who approves of the politician during the first three months\newline(D) The percent of the population who approves of the politician when t=3 t=3 months
Get tutor helpright-arrow

Posted 7 months ago

View all (180)

Related topics

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