A new car worth $36,000 is depreciating in value by $4000 per yea...

Question

A new car worth $36,000 is depreciating in value by $4000 per year.

a. Write a formula that models the car's value, y, in dollars, after x years. 
b. Use the formula from part (a) to determine after how many years the car's value will be $12,000. 
c. Graph the formula from part (a) in the first quadrant of a rectangular coordinate system. Then show your solution to part (b) on the graph.

Accepted Answer

A brand new laptop worth $1,000 has the value depreciating by $50 per year. Which equation represents the value of the laptop? Why in dollars after X. Years. And using the formula, how many years will have a value of 600 finally will graph the equation and plot the point. Let's go ahead and set up our equation. So one equation y equals Now our starting value is $1,000 and we're depreciating by $ every year, started 1000. Let's assume years or X. We're gonna subtract 50 x every year to represent our depreciating by $50 per year. So this is the equation we want to look at Now we're gonna figure out how many years will it have a value of $600 Or after? How many years rather? So you wanna find 600 As our y. That equals 1,000 -50 x. Now let's go ahead and solve for X. That's 1000 for both sides. We've got negative 400 equals negative 50 X, Divide by -50. We get x equals eight. So it should take eight years. So we should value of $600. We're gonna go ahead and find the graph that has the equation Y equals 1000 minus 50 X. And X equals eight years. Let's go ahead and take a look look at a, we have 600 minus 50 X. And X. Is nine. So it can't be a now be is 1000 plus 50 X and X is four. So it can't be be either because that's the wrong equation. Look at see we have 1000 minus 50 X and X equals eight, which is what we calculated. So I think our answer is C. But let's take D. Just to be 100% sure indeed. 600 plus 50 X. X equals three, which is not what we've got. That means the answer to our problem. This answer is C. And we can tell this because we would have a point as 0 and eight. Just as in the graph. Okay, I hope to help you solve the problem. Thank you for watching. Goodbye.

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