Question

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 m?
A. m = 3
B. m = 8
C. m = 18
D. m = 33

Answer 1

Option B is the answer

Answer 2

Thank you for asking this question. Here is your answer:

m = 13 + 5 (the rate of change would be +5 according to the linear function)

= 18

So the correct answer would be option C. 18

x = 3  

y = 13  

x = 5 ⇒ y = 23

∴ 13 = 3a+b → (this will be equation 1)

23 = 5a+b → (this will be an equation 2)

Now we will solve (equation 1) and (equation 2) , in order to find a and b

a = 5  and b = -2

∴ y = 5x - 2

substitution with x = 4 int the equation of y

∴ y = 5*4-2 = 18

If there is any confusion  please leave a comment below.