Question

Ramon toll pass account has a value of $32. Each time he uses the toll road, $1.25 is deducted from the account. when the value drops below $10, he must add value to the toll pass, what's an inequality that represents how may times Ramon can use the the toll pass without having to add any value to the toll pass?

Answer 1

Amount left=amount now-deducted
deducted=amount deducted each time times number of times
amount deducted each time =1.25
x=number of times
so

32=amount now
1.25x is deducted
so the amount left has to be greater than or equal to 10
32-1.25x≥10
minus 1.25x both sides
32≥10+1.25x
minus 10 both sides
22≥1.25x
divide both sides by 1.25
17.6≥x
you can't pass through 0.6 times so 17 times is max



the inequality is
32-1.25x≥10 whre x is the number of times that he passes

Answer 2

32 - 1.25t > = 10 <====