Question
the truck must be rented for hours before the cost under the new plan becomes $20 more expensive than the old plan
Answers
GPT 3.5
Let's assume that the cost of renting the truck for 1 hour under the old plan is $x per hour.
Therefore, under the new plan, the cost of renting the truck for 1 hour would be $x + $20.
Let's represent the number of hours the truck must be rented for under the new plan as 'h'.
According to the given condition, the cost under the new plan becomes $20 more expensive than the old plan after 'h' hours.
Therefore, the equation representing this condition can be written as:
$h(x + $20) = hx + $20
Simplifying the equation:
$hx + $20h = hx + $20
$20h = $20
h = 1
So, the truck must be rented for 1 hour before the cost under the new plan becomes $20 more expensive than the old plan.
Therefore, under the new plan, the cost of renting the truck for 1 hour would be $x + $20.
Let's represent the number of hours the truck must be rented for under the new plan as 'h'.
According to the given condition, the cost under the new plan becomes $20 more expensive than the old plan after 'h' hours.
Therefore, the equation representing this condition can be written as:
$h(x + $20) = hx + $20
Simplifying the equation:
$hx + $20h = hx + $20
$20h = $20
h = 1
So, the truck must be rented for 1 hour before the cost under the new plan becomes $20 more expensive than the old plan.