Please help me, worth LOTS of points
Robert wants to rent a car for a week and to pay no more than $140. The car rental costs $91 a week plus $0.14 per mile.
a. Write an inequality based on the given information.
b. How far can he drive? Show your work for full credit.

a)   where "" stands for the number of miles driven.

b) He can drive as far as 250 miles to keep the rental cost limited to $140.

Step-by-step explanation:

a) Robert wants to make sure that the addition of the costs coming from the car rental per week ($91) plus the amount paid for the coverage of "x" number of miles (which goes as $0.14 times x) does not exceed $140 (which is the same as saying that this total cost must be smaller than or equal to $140.

In math terms, such is written as:

where "x" stands for the number of miles driven.

b) the total number of miles (x) he is allowed to cover given the $140 restriction is obtained by solving for "x" (the number of driven miles) in the inequality of part a):

which tells us that the number of driven miles (x) has to be smaller or equal to 350 miles. Then he can drive as far as 250 miles to keep the rental cost limited to $140.

d. corresponding side lengths in similar triangles are proportional in length.

step-by-step explanation:

the answer is a) y= 2 csc [0.5 (x+pi/2)]-1

step-by-step explanation: