A store receives a shipment of 320 skateboard wheels. After 3 days, 272 of the skateboard wheels are left. After 7 days, 208 skateboard wheels are left. a. Write an equation that represents the number y of skateboard wheels remaining after x days.

b. Use the linear equation to predict how many skateboard wheels will be left after 11 days.

c. After how many days should the store plan to receive a new shipment of skateboard wheels so they do not run out?

d. What does the slope of the equation represent? What does the y-intercept represent?

144

20 days

Change of the number of skateboards with respect to the change of days.

y intercept represents the total stock of the skateboard wheels.

Step-by-step explanation:

The points on the plane are and .

Slope is given by

The equation of the line will be

The equation that represents the situation is

When the number of days is 11 we have

The number of wheels left after 11 day is 144.

When the shipment will run out

So, after 20 days the shipment will run out.

The slope represents the change of the number of skateboards with respect to the change of days.

The y intercept represents the total stock of the skateboard wheels.

δabc ≅ δdcb by sas because

db ≅ ac . . given (side)

bc ≅ bc . . reflexive property (side)

∠dbc ≅ ∠ acb . . alternate interior angles where transversal bc crosses parallel lines bd and ac (included angle)

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