# Algebra 2 A

A jet ski company charges a flat fee of \$26.00 plus \$3.25 per hour to rent a jet ski. Another company charges a fee of \$24.00 plus \$3.50 per hour to rent the same jet ski.

Using a graphing calculator, find the number of hours for which the costs are the same. Round your answer to the nearest whole hour.

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1. 26.00+3.25x=24.00+3.50.

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2. correct

26.00+3.25x=24.00+3.50x

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3. Yep thanks.

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4. A candy store makes a 9-pound mixture of gummy candy, jelly beans, and hard candy. The cost of gummy candy is \$2.00 per pound, jelly beans cost \$3.00 per pound, and hard candy costs \$3.00 per pound. The mixture calls for two times as many gummy candy pieces as jelly beans. The total cost of the mixture is \$23.00. How much of each ingredient did the store use?

A.
3 lbs. gummy candy, 2 lbs. jelly beans, 4 lbs. hard candy
B.
4 lbs. gummy candy, 2 lbs. jelly beans, 3 lbs. hard candy
C.
4 lbs. gummy candy, 3 lbs. jelly beans, 2 lbs. hard candy
D.
2 lbs. gummy candy, 3 lbs. jelly beans, 4 lbs. hard candy

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5. What is the minimum value for z=3x-1/2y over the feasibility region defined by the constraints?
a.-4
b.-5
c.-3
d.-6

constraints
x greater than or equal to 0
y less than or equal to 8
y greater than or equal to x
y greater than or equal to -1/2x+6

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6. X Lbs. of jelly beans.
2x Lbs. of gummy candy.
9-(x+2x) = (9-3x) Lbs. of hard candy.

3*x + 2*2x + 3*(9-3x) = 23.00.
3x + 4x + 27-9x = 23
X = 2.0 Lbs. of jelly beans.

2x = 2 * 2 = 4 Lbs. of gummy candy.

9-3x = 9-3*2 = 3 Lbs. of hard candy.

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7. For the gummy equation you dont really need to do anything. Just look and see which answer has two times as many gummies as jelly beans. The answer is B.

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