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:

h(t)=-4.9t^(2)+18 t+0.5 The equation models h, the height, in meters, of a soccer ball t seconds after the goalkeeper kicks it. Which of the following statements is the best interpretation of the ordered pair (3,10.4) ? Choose 1 answer: (A) At 3 seconds after the kick, the distance between the soccer ball and the goalkeeper is 10.4 meters. B At 3 seconds after the kick, the soccer ball is traveling at a speed of 10.4 meters per second. (C) At 3 seconds after the kick, the height of the soccer ball is 10.4 meters. (D) At 10.4 seconds after the kick, the height of the soccer ball is 3 meters.

The equation models hh, the height, in meters, of a soccer ball tt seconds after the goalkeeper kicks it. Which of the following statements is the best interpretation of the ordered pair (3,10.4)(3,10.4) ?\newlineChoose 11 answer:\newline(A) At 33 seconds after the kick, the distance between the soccer ball and the goalkeeper is 10.410.4 meters.\newline(B) At 33 seconds after the kick, the soccer ball is traveling at a speed of 10.410.4 meters per second.\newline(C) At 33 seconds after the kick, the height of the soccer ball is 10.410.4 meters.\newline(D) At 10.410.4 seconds after the kick, the height of the soccer ball is 33 meters.

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. The equation models hh, the height, in meters, of a soccer ball tt seconds after the goalkeeper kicks it. Which of the following statements is the best interpretation of the ordered pair (3,10.4)(3,10.4) ?\newlineChoose 11 answer:\newline(A) At 33 seconds after the kick, the distance between the soccer ball and the goalkeeper is 10.410.4 meters.\newline(B) At 33 seconds after the kick, the soccer ball is traveling at a speed of 10.410.4 meters per second.\newline(C) At 33 seconds after the kick, the height of the soccer ball is 10.410.4 meters.\newline(D) At 10.410.4 seconds after the kick, the height of the soccer ball is 33 meters.
  1. Understand the context: Understand the context of the problem.\newlineThe equation h(t)=−4.9t2+18t+0.5h(t) = -4.9t^2 + 18t + 0.5 models the height of a soccer ball at any given time tt after the goalkeeper kicks it. The ordered pair (3,10.4)(3,10.4) represents a specific moment in time (t=3t = 3 seconds) and the corresponding height (h=10.4h = 10.4 meters) of the soccer ball.
  2. Interpret the ordered pair: Interpret the ordered pair (3,10.4)(3,10.4). The first number in the ordered pair, 33, represents the time in seconds after the kick. The second number, 10.410.4, represents the height of the soccer ball in meters at that time. Therefore, the ordered pair (3,10.4)(3,10.4) means that at 33 seconds after the kick, the height of the soccer ball is 10.410.4 meters.
  3. Match interpretation to options: Match the interpretation to the given options.\newlineBased on the interpretation in Step 22, we can see that option (C) ＂At 33 seconds after the kick, the height of the soccer ball is 10.410.4 meters.＂ is the correct interpretation of the ordered pair (3,10.4)(3,10.4).

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 9 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 9 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