Algebra problem: a rental car agency charges a flat fee of $138 plus $27 per day to rent a certain car. another agency charges a fee of $47 plus $40 per day to rent the same car. find the number of days for which the costs are the same. round your answer to the nearest whole number of days.

Let the number of days be x.

138 + 27x = 47 + 40x
40x - 27x = 138 - 47
13x = 91
x = 7

Ans: 7 days

Detailed working:
138 + 27x = 47 + 40x
138 + 27x - 27x = 47 + 40x - 27x
138 = 47 + 13x
138 - 47 = 47 + 13x - 47
91 = 13x
13x = 91
x = 91 ÷ 13
x = 7

This is the graph x=1

first anwser choice.

step-by-step explanation:

the greater/less or equal to symbol (> or < with the line at the bottom) is a closed/filled in circle.

when multiplying or dividing by a negative on both sides you have to flip the inequality sign. this rule only applies to multiplying or dividing by a negative number in inequality equations. this rule is really important.

-5c + 2 _< _27

subtract from both sides by 2

-5c _< _ 27

divide both sides by -5

c _< _ 5.4

flip the inequality sign

c _> _5.4

the only possible answer that would match the simplified inequality is the first answer choice