Question

53.20

In order for the data in the table to represent a linear function
with a rate of change of +5, what must be the value of a?
O a = 3
O a = 8
O a = 18
O
a = 33

Answer 1

Answer: 8

Explanation:

Answer 2

Answer: a=8

Explanation:

The rate of change of function is given by :-

`k=(y_2-y_1)/(x_2-x_1)`

For , linear function, the rate of change of function remains constant.

From, x=3 and x=4, we have

`k=(a-13)/(4-3)`

Since , the rate of change k= +5 (given)

Then,
`5=(a-13)/(4-3)`

`\Rightarrow\ a-3=5\\\\ a=3+5=8`

Hence, the value of a is 8.