parking in a student lot cost $1 for the first half hour and $1.75 for each hour thereafter. A partial hour is charged the same as a full hour. What is the longest time that a student can park in this lot for $9 what is the answer
Parking in a student lot costs$1 for the first half hour and $1.75 for each hour thereafter. A partial hour is charged the same as full hour. What is the longest time that a student can park in this lot for $8?
To determine the longest time a student can park in this lot for $9, we can set up an equation and solve for the unknown variable.
Let's denote the number of hours a student can park after the initial half hour as "x". We know that the first half hour costs $1 and each subsequent hour costs $1.75. So, the equation can be expressed as:
$1 + $1.75x = $9
To solve for "x", we need to isolate it on one side of the equation. We can start by subtracting $1 from both sides:
$1.75x = $9 - $1
$1.75x = $8
Now, we divide both sides of the equation by $1.75 to solve for "x":
x = $8 / $1.75
x ≈ 4.57
Since we cannot park for a fraction of an hour, we need to round down to the nearest whole number. Therefore, a student can park for a maximum of 4 hours in this lot for $9.