Question

x | y
2 | 7
3 | 10.5
4 | 14
5 | 17.5
6 | 21
which function has a greater rate of change than the function represented in the table.
a y = 4x
b y = x + 2
c y = 2x + 3
d y = 3x + 4

Explanation:

Step1: Find table's rate of change

Rate = $\frac{\Delta y}{\Delta x} = \frac{10.5-7}{3-2} = 3.5$

Step2: List rates of options

A: $4$, B: $1$, C: $2$, D: $3$

Step3: Compare rates to 3.5

Only $4 > 3.5$

Answer:

A. $y = 4x$