Respuesta :

Answer:

a)[tex]20m+65=28m+25[/tex]

b) On the 5th month, the gym will have the same total cost of $165

Step-by-step explanation:

We can write the following expression for Gym A:

[tex]20m+65[/tex]

And we can write the following expression for Gym B:

[tex]0.8(35m)+25[/tex]

This can we rewritten as

[tex]28m+25[/tex]

In order to find the total costs at which the gyms are the same, we must set them equal to each other, solve for m, and then substitute m into the equation.

[tex]20m+65=28m+25\\\\8m=40\\\\m=5[/tex]

Now we can substitute m into each equation

[tex]20m+65=28m[tex]20(5)+65=28(5)+25\\\\100+65=140+25\\165=165[/tex]

On the 5th month, the gym will have the same total cost of $165

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