See explanation below
Step-by-step explanation:
h = 0.5d + 4
if f(x) = h and d = x
The formula becomes:
f(x) = 0.5x + 4
when x = 0
f(x) = 0.5(0) + 4 = 0 +4
f(x) = 4
when x = 1
f(x) = 0.5(1) + 4 = 0.5 +4
f(x) = 4.5
when x = 2
f(x) = 0.5(2) + 4 = 1 +4
f(x) = 5
when x = 3
f(x) = 0.5(3) + 4 = 1.5 +4
f(x) = 5.5
when x = 4
f(x) = 0.5(4) + 4 = 2 +4
f(x) = 6
when x = 5
f(x) = 0.5(5) + 4 = 2.5 +4
f(x) = 6.5
when x = 6
f(x) = 0.5(6) + 4 = 3 +4
f(x) = 7
plotting the graph:
Note: each line on the y axis represent 0.5 in between the whole numbers on the axis
After 4, the next line represent