Answer:
Nick needs $11.50 to wash his car for at least 15 minutes. But, he has only $10. So, he does not have enough money.
Explanation:
Given information : A self-service car wash charges $4 for the initial 5 minutes plus an additional $0.75 for each minute after that.
Let the cost for car wash for M minutes be = x
Equation forms; [tex]x=4+0.75(M-5)[/tex] ; .....(1)
when M= 5, x=4 (initial 5 minute cost)
Now, we also know that one should spend at least 15 minutes to properly wash a car. So, inequality for number of minutes become [tex]M\geq 15[/tex]
Now plugging [tex]M\geq 15[/tex] in equation (1) we get,
[tex]x\geq 4+0.75(15-5)[/tex]
[tex]x\geq 4+0.75(10)[/tex]
[tex]x\geq 4+7.5[/tex]
[tex]x\geq 11.5[/tex]
This shows that Nick needs $11.50 to wash his car for at least 15 minutes. But, he has only $10. So, he does not have enough money.
