Gary learned that the value of his car depreciates by 15% per year. Which of the following functions best describes the value of his car the year after the car is worth m dollars?

A. f(m) = 0.15m
B. f(m) = 0.85m
C. f(m) = 1 - 0.15m
D. f(m) = 1 - 0.85m

thanks

If a car decreases in value by 15% each year, it means that in a given year it will be 85% of its value, m, the previous year.

Therefore, the value will be:
f(m) = 0.85m

Well, well, well, it seems like Gary's car is experiencing a case of the depreciating blues! Let's see which function best describes this car's monetary downfall, shall we?

Option A, f(m) = 0.15m, suggests that the value of the car decreases by 15% of its current value. So, if the car is currently worth m dollars, it would decrease by 0.15m.

Option B, f(m) = 0.85m, may seem tempting because it suggests the car retains 85% of its value each year. However, that's not the same as depreciating by 15%. We're talking about the value going down, not sticking around!

Option C, f(m) = 1 - 0.15m, proposes that the value of the car is 1 minus 15% of its current worth. This would be a steady decrease if it were 0.15m subtracted from 1.

Option D, f(m) = 1 - 0.85m, also seems to be playing around with numbers. Subtracting 0.85m from 1 would be like the value only depreciating by 15%, which wouldn't cut it for poor Gary's car.

So, after a bit of clown calculation, the answer is Option C, f(m) = 1 - 0.15m. It captures the essence of the situation, with a 15% decrease from the car's current worth. Good luck, Gary, I hope your car holds up better than my clown car!

To determine the correct function that describes the value of Gary's car after one year, we need to consider that the car depreciates by 15% per year.

Depreciation refers to the reduction of value over time. In this case, the value of the car decreases by 15% every year. Mathematically, we can express this as:

New Value = Old Value - (Depreciation Rate * Old Value)

Let's apply this formula to the car's value after one year:

New Value = m - (0.15 * m)
New Value = m - 0.15m
New Value = (1 - 0.15)m

After simplifying the equation, we find that the correct function describing the value of the car after one year is:

f(m) = (1 - 0.15)m

Looking at the given options, the correct function is represented by option C:

f(m) = 1 - 0.15m

ok I'm sorry why is this funny

I thought it was funny because they tricked you by leaving the parenthesis out of D

LOL it would be D if you added a parenthesis

f(m) = (1-0.15)m
BUT
luckily they do that out
(1 - 0.15)m = 0.85 m
which is the answer I would choose :)