Question

A new car worth $27,000 is depreciating in value by $3,000 per year.
Complete parts
a. through b. below.
a.Write a formula that models the car's value, y, in dollars, after x years.
y= 0

Answer 1

Answer: Y=24000-3000x

9000=24000-3000x

-15000=-3000x

x=5 years

first we need to set the equation

at plug in all the information we have. In our case, we know cars value or y =9000, we need to find what is the x value

2

we need to subtract 24000 on both sides, and then divide by -3000 on both sides, and find out for x in years

Step-by-step explanation:

Answer 2

The model of the car's value, y, in dollars, after x years is:

y = -3000x + 27000

The equation of a straight line is given by:

y = mx + b

where y, x are variables, m is the slope of the line and b is the y intercept.

Let x represent the number of years and y represent the value in dollars.

Since the new car worth is $27000, hence b = 27000. Also it depreciating in value by $3,000 per year, hence m = -3000. The car value is given by:

y = -3000x + 27000

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