Answer
Option D
Explanation:
Given the first table
x 0 1 2 3
y 0 7 14 21
The standard form ofa linear function is given as
y = mx + b
Firstly, find the slope
Slope = rise / run
Rise = y2 - y1
run = x2 - x1
Slope = y2 - y1/x2 - x1
let x1 = 0, x2= 1, y1 = 0 and y2 = 7
Slope = 7 - 0 / 1- 0
Slope = 7/1
Slope = 7
(y - y1) = m(x - x1)
y1 = 0 and x1 = 0
y - 0 = 7(x - 0)
y - 0 = 7x - 0
y = 7x
For the second table
x 0 1 2 3
y 1 2 4 8
Step 1: Find the common ratio
Common ratio = y2/y1
2/1 = 2
4/2 = 2
8/ 4 = 2
Therefore, the common ratio is 2
The standard form of an exponential function is given as
y = a(b)^x
b = 2, a = 1
y = 1 * (2)^x
y = 2^x
For linear function
y = 7x
Exponential function
y = 2^x
Find the greatest value when x = 10
y = 7(10)
y = 70
y = 2^10
y = 1,024
Therefore, the function that has the greater value when x = 10 is the exponential function