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ryzh [129]
3 years ago
11

Their is a reservation fee of $47 and an additional hourly fee of $7.40 . The math club wants to spend less than $91.40 on renti

ng the room. What are the possible amounts of time in which they can rent the room?
Mathematics
1 answer:
Margaret [11]3 years ago
8 0

Answer: they can rent the room for less than 6 hours.

Step-by-step explanation:

Let x represent the possible amounts of time in which they can rent the room.

There is a reservation fee of $47 and an additional hourly fee of $7.40. This means that the total cost of renting the room for x hours would be

47 + 7.4x

The math club wants to spend less than $91.40 on renting the room. This would be expressed as

47 + 7.4x < 91.4

7.4x < 91.4 - 47

7.4x < 44.4

x < 44.4/7.4

x < 6

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F(1) = 160 is given to us. We'll use it to find f(2)
f(n+1) = -2*f(n)
f(1+1) = -2*f(1) ... replace every n with 1
f(1+1) = -2*160 ... replace f(1) with 160
f(2) = -320

Now use f(2) to find f(3)
f(n+1) = -2*f(n)
f(2+1) = -2*f(2) ... replace every n with 2
f(3) = -2*(-320) ... replace f(2) with -320
f(3) = 640

Finally, use f(3) to find f(4)
f(n+1) = -2*f(n)
f(3+1) = -2*f(3) ... replace every n with 3
f(4) = -2*640 ... replace f(3) with 640
f(4) = -1280

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