You need to rent the car for 3 weeks. Ace Car Rental agency charges $0.29 per mile plus a $10 weekly fee. Elite Rental agency charges $.0.35 per mile with no fee.
5a. Write and solve an equation to find the number of miles for which both agencies will charge the same.
5b. Which agency offers the better deal if you plan to drive at least 1000 miles during the three weeks. Explain and show your work!

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

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.

solution:

as, mean is defined as sum of all the observations divided by total number of observations.

and , median is mid value of the data whether arranged in ascending order or descending order.

consider, roadsters:

2,3,4,5,6,7,8,9

mean =

also, median= , because number of observations is even, so median is mean of two mid values.

now, coming to bandits

2,3,4,5,6

mean =  

median = 4, as number of observations is odd.

so, roadsters has greater median as well mean than bandits.

→option a is true about the repairs performed on 2 types of cars:

bandits have lower median and mean than roadsters.

c) the median for town a 30" is greater than the median for town b 25"

step-by-step explanation:

town a, median = q2 = 30

town b, median - q2 = 25

so the median for town a 30" is greater than the median for town b 25"