Question 1160568
the formula will be:
6 + 2 * (x - 3) <= 15
x represents the number of hours you can rent the bike.
15 represents the amount of money you have available for renting the bike for x hours.
subtract 6 from both sides of this equation to get:
2 * (x - 3)  <= 9
simplify to get:
2 * x - 6 <= 9
add 6 to both sides of this equation to get:
2 * x <= 15
divide both sides by 2 to get:
x <= 15/2
simplify to get:
x <= 7.5
the maximum number of hours you can ren the bike is 7.5.
you pay 6 dollars up front.
this gets you the first 3 hours.
you have 9 dollars left.
at 2 dollars an hour, you can get an additional 4.5 hours,.
3 hours plus 4.5 hours = 7.5 hours total for your 15 dollars.
your solution on the number line will start at 0 and end at 7.5, inclusive of both end points.