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?

Answer 1

The table to represent a linear function with a rate of change of +5

so, m = 13 + 5 = 18

The correct answer is option 3 ⇒ m = 18

========================================
another solution :
The table represents a linear function
the general equation of the linear function is ⇒ y = ax+b
where a is the slope and b is constant
By using the first and the third points from table to find the equation of the linear function
at x = 3  ⇒ y = 13   and   at x = 5 ⇒ y = 23
∴ 13 = 3a+b → (1)

23 = 5a+b → (2)
solve (1) and (2) to find a and b
So,  a = 5  and b = -2
∴ y = 5x - 2

After that by substitution with x = 4 int the equation of y
∴ y = 5*4-2 = 18

∴ m = 18

Answer 2

the correct answer is c haint it!!!!!