David keeps records of his monthly earnings. Last month he worked 140 hours and earned $3700. This month he worked 120 hours and earned $3200.

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.

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