The straight line depreciation equation for a motorcycle is y = -2.150x + 17,200.

(Express your answers as whole

numbers.)

a. What is the original price of the

motorcycle? $17,200.00

b. How much value does the motorcycle

lose per year?

c. How many years will it take for the

motorcycle to totally depreciate?

Given :

The straight line depreciation equation for  a motorcycle is y = -2,150x + 17,200.

To Find :

a. What is the original price of the  motorcycle? $17,200.00  ?

b. How much value does the motorcycle  lose per year?

c. How many years will it take for the  motorcycle to totally depreciate?

Solution :

y = -2,150x + 17,200.

Here, y is price and x is unit of time in years.

a)

We know, original price is given when x =0.

So, y = 0 + 17,200

y = $17,200.00

b)

Value motorcycle lose per year is coefficient of x i.e $-2,150.00

c)

Form total depreciate :

y = 0

0 = -2,150x + 17,200

x = 17,200÷2,150

x = 8 years.

Hence, this is the required solution.

in problems involving proportions, we can use cross products to test whether two ratios are equal and form a proportion. to find the cross products of a proportion, we multiply the outer terms, called the extremes, and the middle terms, called the means.

hope it