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:  a=8

Step-by-step explanation:

The rate of change of function is given by :-

$k=\dfrac{y_2-y_1}{x_2-x_1}$

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

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

$k=\dfrac{a-13}{4-3}$

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

Then, $5=\dfrac{a-13}{4-3}$

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

Hence, the value of a is 8.

Answer 2

Answer: 8

Step-by-step explanation: