Roy already has 10,368 frequent flyer miles, and he will earn 2832 more miles from his round-trip flight to New York city. In addition, he earns 2 frequent flyer miles for each dollar he charges on his credit card. Write the equation of a function f(d) that represents the total number of frequent flyer miles Roy will have after his trip if he charges d dollars on his credit card. How many dollars will Roy need to charge on his credit card to have a total of 15,000 frequent flyer miles?

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fichoh fichoh · Answer 1 · 2021-08-27T21:47:27+02:00

The required function F(d) = 13200 + 2d

To have a total of 15000 frequent flyer mile, Roy will need to charge a total of $900 on his credit card.

Miles from round trip flight = 2832

Miles from round trip flight = 2832 Miles he has already = 10368

Miles from round trip flight = 2832 Miles he has already = 10368Miles per dollar charged on credit card = 2.

This means that ; for d dollar charge in his credit card ;

He will have : (2 × d) = 2d

Hence, the total number of frequent flyer mile if D dollar is charged on his credit card will be :

F(d) = 10368 + 2832 + 2d

F(d) = 13200 + 2d

that is : F(d) = 15000

We calculate thus :

15000 = 13200 + 2d

15000 - 13200 = 2d

1800 = 2d

d = 900

Hence, Roy will need to charge $900 on his credit card.

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