Question

The daily cost of renting a car is $30 plus $0.50 per mile traveled.  If Effie paid $124.00 for a day's rental, how many miles did she travel?  Write and solve an equation to find the number of miles Effie traveled.  Use x for number miles in your equation.  Write in  form.

Answer 1

188 miles

Explanation:

Let x be the number of miles Effie travelled.

Let y be the total daily cost of renting a car (in dollars).

We are told that the cost of renting the car is $0.50 for each mile travelled plus a flat-fee of $30, so the total daily cost can be expressed as:

`\large\boxed{\boxed{y = 0.5x + 30}}`

where x is the number of miles, and y is the total cost in dollars.

According to the information provided, Effie paid $124.00 for a day's rental. To calculate how many miles she travelled, substitute y = 124 into the equation and solve for x:

`\begin{aligned}124&=0.5x+30\\\\124-30&=0.5x+30-30\\\\94&=0.5x\\\\(94)/(0.5)&=(0.5x)/(0.5)\\\\188&=x\\\\x&=188\end{aligned}`

Therefore, Effie traveled 188 miles.

Answer 2

188 miles

Explanation:

In order to find the number of miles Effie traveled, we can set up an equation based on the given information.

The daily cost of renting a car is $30 plus $0.50 per mile. So, for Effie's rental, the cost can be expressed as:

Cost = $30 (daily rental fee) + $0.50x (cost per mile)

where x is the number of miles traveled)

Effie paid $124 for the day's rental, so we can write the equation:

`\sf \$30 + \$0.50x = \$124`

Now, we need to solve for x (the number of miles):

Subtract $30 from both sides of the equation:

`\sf \$0.50x = \$124 - \$30`

`\sf \$0.50x = \$94`

Now, to isolate x, divide both sides of the equation by $0.50:

`\sf x =( \$94 )/(\$0.50)`

`\sf x = 188`

So, Effie traveled 188 miles during her rental.