Caroline has a movie card worth $75 that her grandfather gave to her for her birthday. After seeing her first movie, the card's value is $67. After she sees a second movie, its value is $59 and after she sees a third movie, its value is $51. Assuming the pattern continues, which function ƒ (m) can be used to determine the amount of money on the card after m movies?

Question

Mathematics

Maddox Robles

23 June, 02:17

Caroline has a movie card worth $75 that her grandfather gave to her for her birthday. After seeing her first movie, the card's value is $67. After she sees a second movie, its value is $59 and after she sees a third movie, its value is $51. Assuming the pattern continues, which function ƒ (m) can be used to determine the amount of money on the card after m movies?

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Answers (1)

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Jerimiah Day · Answer 1

f (m) = 75-8m

Step-by-step explanation:

She began with $75. After the first movie, she had $67 remaining; this means she spent

75-67 = $8

After the second movie, she had $59 remaining; she spent

67-59 = $8

After the third movie, she had $51 remaining; she spent

59-51 = $8

Each movie costs $8. Letting m represent the number of movies, this gives us 8m.

Since she is spending money, we subtract this from the original amount, $75; this gives us

f (m) = 75-8m