Community gym charges a $50 membership fee and a $65 monthly fee. workout gym charges a $180 membership fee a $55 monthly fee. after how many months will
the total amount of money paid to both gyms be the same? what will the amount be?

We can write an equation. If x is the number of months...
50+65x=180+55x.
Subtract 55x on both sides and subtract 50 on both sides to get...
10x=130
Divide by 10 on both sides to get...
x=13
So 13 months.
For the amount, plug in 13 to either side of the equation to get an amount of 895 dollars

both graphs increase on their domain

neither graph has a y-intercept

step-by-step explanation:

the following points can be visualized easily from the graph

there is a hike in both the graphs so the graphs are increasing on their domain.x-intercept of log x and log 6x are differentthere is a vertical asymptote of both the graphs so there is no y-interceptas both the graphs are increasing so there is no horizontal asymptote