The table shows the times it takes a certain model of car to accelerate from 0 mph to speeds of 30 mph, 40 mph, etc., up to 90 mph, in increments of 10 mph. Time (sec) Speed (mph) Time (sec) Speed (mph) 1.7 30 7.9 70 2.8 40 10.3 80 4.1 50 13.0 90 5.7 60 (a) Represent the times by x and the speeds by y. Which function type would be a reasonable choice to model these data? (Multiple Choice) A. power functioncubic function B. linear function C. quadratic function D. Any of these functions would be a reasonable choice. (b) Find the power function model for the data. (Round your coefficients to three decimal places.) y = ? (c) Graph the points and the function to see how well the function fits the points. (d) What does the model indicate the speed (in mph) is 5 seconds after the car starts to move? (Round your answer to the nearest integer.) ??? mph
The table shows the times it takes a certain model of car to accelerate from 0 mph to speeds of 30 mph, 40 mph, etc., up to 90 mph, in increments of 10 mph. Time (sec) Speed (mph) Time (sec) Speed (mph) 1.7 30 7.9 70 2.8 40 10.3 80 4.1 50 13.0 90 5.7 60 (a) Represent the times by x and the speeds by y. Which function type would be a reasonable choice to model these data? (Multiple Choice) A. power functioncubic function B. linear function C. quadratic function D. Any of these functions would be a reasonable choice. (b) Find the power function model for the data. (Round your coefficients to three decimal places.) y = ? (c) Graph the points and the function to see how well the function fits the points. (d) What does the model indicate the speed (in mph) is 5 seconds after the car starts to move? (Round your answer to the nearest integer.) ??? mph
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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The table shows the times it takes a certain model of car to accelerate from 0 mph to speeds of 30 mph, 40 mph, etc., up to 90 mph, in increments of 10 mph.
| Time (sec) | Speed (mph) | Time (sec) | Speed (mph) |
|---|---|---|---|
| 1.7 | 30 | 7.9 | 70 |
| 2.8 | 40 | 10.3 | 80 |
| 4.1 | 50 | 13.0 | 90 |
| 5.7 | 60 |
(a) Represent the times by x and the speeds by y. Which function type would be a reasonable choice to model these data? (Multiple Choice)
A. power functioncubic function
B. linear function
C. quadratic function
D. Any of these functions would be a reasonable choice.
(b) Find the power function model for the data. (Round your coefficients to three decimal places.)
y = ?
(c) Graph the points and the function to see how well the function fits the points.
(d) What does the model indicate the speed (in mph) is 5 seconds after the car starts to move? (Round your answer to the nearest integer.)
??? mph
(e) According to the model, in how many seconds will the car reach 76.3 mph? (Round your answer to one decimal place.)
??? sec
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