Jeff has 50,670 miles on his truck. He drives 200 miles each week traveling to and from work. He plans on selling his truck afte

Question

3 years ago

12

Jeff has 50,670 miles on his truck. He drives 200 miles each week traveling to and from work. He plans on selling his truck afte

r he reaches 75,000 miles. Write an equation that could be used to determine the number of weeks, w, that it will take for Jeff to have 75,000 miles on his truck.

Mathematics

2 answers:

Alex Ar [27] · Answer 1 · 2022-04-15T22:56:37+03:00

Answer:

The answer is: 75,000 = 50,670 + 200w

Step-by-step explanation:

The number of miles is increasing at a constant rate, therefore this situation can be represented by a linear equation.

The total number of miles for the truck is equal to the number of miles the truck has initially traveled plus the additional miles that Jeff drives each week. The initial number of miles is 50,670. The total number of miles added is 200w, which is the rate of increase per week, 200, times the number of weeks, w. Set the total number of miles, 75,000, equal to the sum of the initial mileage and the total weekly additional mileage to complete the equation representing this situation.

Natalka [10] · Answer 2 · 2022-04-15T20:43:52+03:00

So the total is 75000 miles, so that is what the whole equation equals. So we start out with 75000=. Then, 200 is the number that is multiplied by the amount of weeks, so we then have 75000 = 200x. Finally, 50670 is the start, so we add it to the end. The final equation is 75000 = 200x + 50670.
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