Concept explainers
To find: Whether the given table represents linear or exponential or quadratic and write the function.
Answer to Problem 14CT
It is linear function.
The function that models the data is
Explanation of Solution
Given information: It is given that the points (1, 19), (2, 38), (3,57), (4,76) and (5,95)
Calculation:
Let’s find the difference of x and y values to find whether it is linear or quadratic.
Time, t | Distance, d | First difference |
1 | 19 | |
2 | 38 | 19 |
3 | 57 | 19 |
4 | 76 | 19 |
5 | 95 | 19 |
The first difference of‘d’ is constant 19. So, it is a linear function.
Let’s find the linear rule like
Where ‘m’ is slope. From the table
Plug in this value into the equation, it gives
Use one point to find the value of b.
Use (2, 38)
Subtract both sides 38
Now, plug in this value of b into
Simplify it, it gives
Chapter 8 Solutions
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
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