SHORT ANSWER. Write the word or phrase that best completes each statement or ans

Question

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Find an equation of the the line satisfying the given conditions 1) 1) Through (-7,-1); parallel to -3.1x-1.4y 14.7 lve the inequality 2) 2) A car rental company has two rental rates. Rate 1 is $45 per day plus $0.18 per mile. Rate 2 is $90 per day plus $0.09 per mile. If you plan to rent for one week, how many miles would you need to drive to pay less by taking Rate 2? cost function for the problem. Assume that the relationship is linear. 8) An electrician charges a fee of 40 plus $55 per hour. (a) Let C(x) be the cost in dollars of using the electrician for x hours. 3) b) If Todd paid the electrician $370 for work done in his bathroom,how many hours was he electrician there?

Explanation / Answer

1) Equation will be of the form -3.1*x -1.4*y = k

Put x = -7 & y=-1

k = -3.1*-7 -1.4*-1 = 23.1

Ans is -3.1*x -1.4*y = 23.1

2) x = Miiles driven

Rate 1 = 45*7 + 0.18*x

Rate 2 = 90*7 + 0.09* x

we have Rate 2 < Rate 1

90*7 + 0.09*x < 45*7 + 0.18*x

0.09*x > 45*7

x > 45*7/0.09

x> 3500 miles

Atleast 3500 miles

3) C(x) = 40 + 55*x

4) 370 = 40 + 55*x

55*x = 330

x = 6 hours

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