Ur basically looking for the common multiple of the numbers 8,9,12,and 15.
LCM of these numbers is 360.
so 360 minutes = (360/60) = 6 hrs
and 6 hrs from 3 p.m. would be : 9 p.m. <== ur answer
Answer is 187.06 and the work is in the attached picture.
You have $15 and admission is $5, so you know have $10 before doing any games. If you wanted to play 12 games, you would need $10.20, which you do not have. But, if you wanted to play 11 games, then you would need $9.35, which is just under $10.
So the maximum amount of games that you could play would be 11 games.
Slope-intercept you have right:
y=3/4x-7
Point slope form is:
y − y1 = m(x − x1)
so
y +7 = 3/4(x -0)
or
y + 7 = 3/4x
