Pergunta
A rental car company charges 53 per day to rent a car and 0.08 for every mile driven. Rashaad wants to rent a car, knowing that: - He plans to drive 475 miles. - He has at most 250 to spend. Use the drop-down menu below to write an inequality representing d,the total number of days Rashaad can rent the car while staying within his budget. Answer Attemptiout of 2 d square square
Solução
Verification of experts
4.6205 Voting
FelipeEspecialista · Tutor por 3 anos
Responder
\(d \leq \frac{250 - 38}{53}\)
Explicação
## Step 1<br />The problem involves a linear inequality. The total cost of renting a car is the sum of the daily rental cost and the cost per mile driven. The daily rental cost is $53, and the cost per mile driven is $0.08. Rashaad plans to drive 475 miles, so the cost for the miles driven is \(475 \times 0.08 = 38\).<br /><br />## Step 2<br />Rashaad has a budget of $250, so the total cost of renting the car must not exceed this amount. Therefore, the inequality representing the total number of days Rashaad can rent the car while staying within his budget is:<br /><br />### \(53d + 38 \leq 250\)<br /><br />## Step 3<br />To solve this inequality, we first isolate the term with the variable \(d\) by subtracting 38 from both sides of the inequality:<br /><br />### \(53d \leq 250 - 38\)<br /><br />## Step 4<br />Then, we divide both sides of the inequality by 53 to solve for \(d\):<br /><br />### \(d \leq \frac{250 - 38}{53}\)
Clique para avaliar: