Answer:
Step-by-step explanation:
Part A:
Rate of pay for David = [tex]\frac{\text{Change in earnings}}{\text{Change in hours worked}}[/tex]
= [tex]\frac{3700-3200}{140-120}[/tex]
= $25
Part B:
If he worked for number of hours = x
Then the function representing the earning will be,
f(x) = 25x + b
For an ordered pair (120, 3200),
3200 = 25(120) + b
b = 3200 - 3000
b = 200
Therefore, function will be,
f(x) = 25x + 200
Part C:
"Slope = 25" means the rate of change in earnings per hour is $25.
Similarly, y-intercept 'b = 200' will represent the fixed amount earned by David in addition to the per hour earnings.
