The cost of a gym membership is $25 per month. There is an initial fee of $40

y = 25x + 40

Step-by-step explanation:

Using the formula, y = mx + b we can find out what this equation would be.

m = the rate of change/slope

b = the y- intercept

25 per month is telling us that this is the rate of change.

Since the $40 is only paid once, you can tell that this is the y intercept.

The equation will look like:

y = 25x + 40

On a graph it would look like:

Let the total cost of a gym membership be y, with the number of months as x.

The total cost would be 40 dollars, the initial fee, plus 25 times the number of months (x).

y = 40 + 25x

the answer is:

the correct option:

b.

to solve the problem, we need to remember how to operate to simplify exponential expressions using the logarithms.

we are given the equation:

then, using placing logarith with base 7 on both sides of the equation, we have:

so, rounding the obtained result to two decimal places (nearest hundreth), we have:

hence, we have that the correct option:

b.

have a nice day!