Jim needs to rent a car. A rental company charges $21 per day to rent a car and $0.10 for every mile driven. He will travel 250 miles and has $115 to spend. Write an inequality that can be used to determine the maximum number of DAYS that Jim can rent a car?

Step-by-step explanation:

Let x represent the number of days for which Jim wants to rent the car.

The rental company charges $21 per day to rent a car and $0.10 for every mile driven. He will travel 250 miles. It means that the cost of travelling 250 miles in x days is expressed as

21x + 0.1 × 250

= 21x + 25

If he has $115 to spend, then the inequality that can be used to determine the maximum number of days that Jim can rent a car is

21x + 25 ≤ 115

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.