Question

Choose the function that represents the data in the table.
x- 0 , 1 ,2 ,3 ,4 ,5
y - 6 , 6.5 , 7 , 7.5 , 8 , 8.5

y = 0.5x2 + 6
y = 0.5x + 6
y = 0.5x + 6
y = x0.5 + 6

Answer 1

y = 0.5x + 6

Reason: y increases by 0.5 when x increases by 1 (constant slope 0.5), and when x = 0, y = 6 (y-intercept 6). Checking: 0.5(1)+6 = 6.5, 0.5(2)+6 = 7, etc.