(d) Find the number of months it takes for the total cost to be less by attending Jetts Gym in comparison to John's Gym.

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I need help with only (D) please
The total cost of a gym membership, C, in Australian dollars (AUD), in John's Gym can be
modelled by the function
C= 65t+30,
where t is the time in months.
(a) Calculate the gym membership cost over a 6 month duration.
(b) On the grid below, sketch the graph of the function C = 65t + 30, for t2 0.
C
400
300
200
100
1
2
3
4
(c)
Calculate the time,
in months, when the total cost reach 290 AUD.
In the neighbouring Jetts Gym, the initial payment is $75 higher than in John's Gym, however
the monthly fee is lower at $30 per month.
(d)
Find the number of months it takes for the total cost to be less by attending Jetts Gym
in comparison to John's Gym.
Transcribed Image Text:The total cost of a gym membership, C, in Australian dollars (AUD), in John's Gym can be modelled by the function C= 65t+30, where t is the time in months. (a) Calculate the gym membership cost over a 6 month duration. (b) On the grid below, sketch the graph of the function C = 65t + 30, for t2 0. C 400 300 200 100 1 2 3 4 (c) Calculate the time, in months, when the total cost reach 290 AUD. In the neighbouring Jetts Gym, the initial payment is $75 higher than in John's Gym, however the monthly fee is lower at $30 per month. (d) Find the number of months it takes for the total cost to be less by attending Jetts Gym in comparison to John's Gym.
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