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# Equations

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I have tried to solve the attached problems however I am not coming up with the selected choices indicated on the work sheet. Need your assistance. Please explain the steps to solve. Thanks.

1. A biologist recorded 6 snakes on 10 acres in one area and 13 snakes on 29 acres in another area. Let y be the number of snakes in x acres. Write an equation for the number of snakes.

a. y=x+4
b. 19y = 7x+4
c. 19y=7x+44
d. 19y=7x-44

2. Suppose a life insurance pplicy cost \$24 for the first unit of coverage and then \$6 for each additional unit of coverage. Let C(x) be the cost for insurance of x units of coverage. What will 10 unit of coverage cost?

a. \$84
b. \$36
c. \$78
d. \$60

3. In deciding whether or not to set up a new manufacturing plant, analysis for a popcorn company have decided that a linear function is a reasonable estimation for the total cost C(x) in dollars to produce x bags of microware popcorn. They estimate the cost to produce 10,000 bags as \$5010 and the cost to produce 15,000 bags as \$7770. Find the marginal cost of the bags of microwave popcorn to be produced in the plant.

a. \$2760
b. \$0.552
c. \$5.52
d. \$55.2

4. A ball is thrown vertically upward at an initial sped of 64ft/sec. Its height (in feet) after t seconds is given by: h(t)=t(64-16t). After how many seconds does the ball reach its maximum height:

a. 8 seconds
b. 2 seconds
c. 4 seconds
d. 2.67 seconds

https://brainmass.com/math/discrete-structures/equations-172306

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Year Code Number of Failures
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1998 2 120
1999 3 138
2000 4 184
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