Answer:
a. 0.29x + 10 = 0.35x
b. Ace Car Rental agency offers the better deal.
Step-by-step explanation:
a. Let the number of miles = x
For company Ace Car Rental agency,
per mile charges = $0.29
charges for x miles = $0.29x
Since company charges a weekly fee = $10
Therefore, the total charges of the company = $0.29x + 10
For company Elite Rental agency,
Total charges for x miles = $0.35x
If both the company charge the same
Then, the equation will be,
0.29x + 10 = 0.35x
10 = 0.35x - 0.29x
10 = 0.06x
[tex]x=\frac{10}{0.06}[/tex]
x = 166.67 miles
At 166.67 miles both agencies will charge the same.
b. If you plan to drive at least 1000 miles during the three weeks.
Hence, x = 1000 miles
Charges of Ace Car Rental agency :
Rental per mile(distance to be covered) + weekly charge (number of weeks)
= $0.29(1000) + $10(3)
= $290 + $30
= $330
Charges of Elite Rental agency
= $0.35 (1000)
= $350
For 1000 miles during 3 weeks Ace Car Rental agency offers the better deal.
