Question

(please help)Jessica purchased a car for d dollars a few years ago. During this time period, the value of her car depreciated. The expression below represents this situation.

d-0.09d

Jessica's car depreciated by (blank)% during this time period. An equivalent expression that represents this situation is(blank) .

Answer 1

The expression below represents this situation.

d-0.09d

'd' is the original price of the car (also given Jessica purchased a car for d dollars a few years ago.)

And 0.09d means that 0.09 of 'd' was decreased from original price. This is 9%.

So, Jessica's car depreciated by 9% during this time period.

An equivalent expression that represents this situation is given by solving the equation.

`d-0.09d=0.91d`

Answer 2

"Jessica's car depreciated by 9% during this time period. An equivalent expression that represents this situation is 0.91d "

Explanation:

The original amount is "d"

and the next term "-0.09d" is the amount of depreciation with respect to d

0.09 * 100 = 9%

Hence, the depreciation rate is 9%

To find an equivalent expression, we simply add/subtract the like terms.

e.g. 5x - 2x = (5-2)x = 3x

So we have:

d - 0.09 d

1d - 0.09d

(1-0.09) d

0.91d

The equivalent expression is
`0.91d`