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(a) The Feelgood Gym has a monthly membership fee of $100 and it charges an addi-
tional $1 per hour. If I use the gym for x hours in a month, write down an expression
for the total cost in terms of x.
(b) Repeat part (a) for the Fabulous Me Gym, which charges $35 per month and $3.50
per hour.
(c) By plotting both graphs on the same axes, or otherwise, find the number of hours
which gives the same total cost.

Respuesta :

If I use the gym for x hours in a month, the total cost in terms of x will be 1000 + x.

a. Monthly membership fee = $100

Additional amount charged = $1 per hour.

If I use the gym for x hours in a month, the total cost in terms of x will be:

= 1000 + 1(x)

= 1000 + x

b. Also, if the amount charged is $35 per month and $3.50 per hour, the total cost will be:

= 35 + 3.50(x)

= 35 + 3.5x

c. The number of hours that will give same cost will be:

1000 + x = 35 + 3.5x

Collect like terms.

1000 - 35 = 3.5x - x

965 = 2.5x

x = 965/2.5

x = 386

In 386 hours, the total cost will be the same.

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