MAT 117 QUIZ 7-2

MAT 117 Quiz 7-2 Name ________________________________

Use pencil, please. Class Time ______________

Place ANSWERS ONLY in the boxes.

1) Use your calculator to solve the following system of linear equations. Answer as ordered pairs.

4x + 7y = -5

-5x + 6y = -38

The Solution for the linear equation is (4,-3)

2) At Karol’s Kandy Store, peanuts cost $3.50 per pound and cashews cost $5.00 per pound. John bought a 20 pound mixture of peanuts and cashews and it cost him $80.50. How many pounds of each were in the mixture?

Cashews =

Peanuts =

Solution:

Number of pounds of Peanuts=13

Number of pounds of Cashews=7

3) Toezies’ is a company that makes slippers. They pay fixed fees of $4300 every month. It costs them $1.55 in labor and materials to produce each pair of slippers. The slippers sell for $5.00 per pair.

a) Find the monthly cost function.

C(x) =

b) Find the monthly revenue function.

R(x) =

c) At minimum, how many pairs of slippers must the company produce and sell in order to make a profit?

Your answer should be a whole number.

Solution:

A) C(x)=4300+1.55x

B) R(x)=3.45x-4300

C) Minimum number of slipper to make is 1247

4) How many gallons of a 15% juice solution must Audrey mix with 4 gallons of a 50% juice solution to make a 20% juice solution? Round to two decimal places.

Number of gallons of 15% Juice solution needed =24 gallons

5) Jack had a total of $34000 invested into two accounts. One paid 3.5% simple interest, and the other paid 4%. If he made a total of $1279 in interest after one year, then how much was invested in each account?

= amount at 3.5%

= amount at 4%

Amount invested in 3.5% is $16,200

Amount investd in 4% is $17,800.

6) Joelle has access to two solutions, one is 0.25% acid and the other is 0.40 % acid. How much of each should she mix to make 60 liters of a 0.35% acid solution?

= liters of 0.25% acid solution

= liters of 0.40% acid solution

Solution:

20 litres of 0.25% acid solution.

40 litres of 0.40% acid solution.

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