QuestionManny's salary function is . Find slope, vertical intercept, , and for .
Studdy Solution
STEP 1
Assumptions1. Manny's weekly salary is given by the linear function . is the number of vacuums sold3. The slope of the function represents the amount Manny earns per vacuum sold4. The vertical intercept represents Manny's base salary, regardless of the number of vacuums sold
STEP 2
The slope of the function is the coefficient of in the equation .
STEP 3
This means that Manny earns $70 per vacuum sold.
STEP 4
The vertical intercept of the function is the constant term in the equation .
STEP 5
This means that if Manny sells no vacuums, he will still earn a base salary of $500.
STEP 6
To evaluate , substitute into the equation .
STEP 7
Calculate the value of .
STEP 8
This means that if Manny sells43 vacuums, he will be paid $3510.
STEP 9
To find the value of where , set and solve for .
STEP 10
Subtract500 from both sides of the equation.
STEP 11
Divide both sides of the equation by70 to solve for .
STEP 12
Calculate the value of .
STEP 13
This means that for Manny to earn $5260, he needs to sell68 vacuums.
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