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A pizza delivery worker purchased a used motor scooter that had been driven 12,100 miles. He drives the motor scooter only on days he is working, during which he drives an average of 50 miles per day. After
d days of pizza delivery, the motor scooter has been driven a total of 25,000 miles. Which of the following equations best models this situation?
Choose 1 answer:
(A)
50(12,100+d)=25,00
(B)
12,100+(d)/( 50)=25,000
(c)
12,100 d+50=25,000
(D)
12,100+50 d=25,000

A pizza delivery worker purchased a used motor scooter that had been driven $12$ , $100$ miles. He drives the motor scooter only on days he is working, during which he drives an average of $50$ miles per day. After $d$ days of pizza delivery, the motor scooter has been driven a total of $25$ , $000$ miles. Which of the following equations best models this situation? $\newline$ Choose $1$ answer: $\newline$ (A) $50(12,100+d)=25,00$ $\newline$ (B) $12,100+\frac{d}{50}=25,000$ $\newline$ (C) $12,100 d+50=25,000$ $\newline$ (D) $12,100+50 d=25,000$

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Write a linear inequality: word problems

Full solution

Q. A pizza delivery worker purchased a used motor scooter that had been driven

12

,

100

miles. He drives the motor scooter only on days he is working, during which he drives an average of

50

miles per day. After

d

days of pizza delivery, the motor scooter has been driven a total of

25

,

000

miles. Which of the following equations best models this situation?

\newline

Choose

1

answer:

\newline

(A)

50(12,100+d)=25,00

\newline

(B)

12,100+\frac{d}{50}=25,000

\newline

(C)

12,100 d+50=25,000

\newline

(D)

12,100+50 d=25,000

Initial mileage: We know the initial mileage on the motor scooter is $12,100$ miles. We also know that the worker drives an average of $50$ miles per day when delivering pizzas.
Additional miles driven: After $d$ days of delivery, the worker would have driven an additional $50$ miles for each of those days. So the total additional miles driven is $50d$ .
Total mileage after $d$ days: To find the total mileage on the motor scooter after $d$ days, we add the initial mileage to the additional miles driven. The equation for the total mileage is therefore the initial mileage ( $12$ , $100$ miles) plus $50$ miles times the number of days ( $d$ ).
Equation for total mileage: The equation that represents this situation is $12,100 + 50d$ . This equation should equal the total mileage on the motor scooter after $d$ days, which is given as $25,000$ miles.
Correct equation: The correct equation that models the situation is $12,100 + 50d = 25,000$ . This matches choice (D) from the given options.

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