# Equations

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

#### Solution Summary

Word documents contains equations and explanation for given problems.

Determine the Least Squares Equation and Estimate

The numbers of bank failures for the years 1997 through 2001 are given below. Determine the least squares equation and estimate the number of failures in 2003.

Year Code Number of Failures

1997 1 79

1998 2 120

1999 3 138

2000 4 184

2001 5 200

Q3

3. The following table gives the annual amount of scrap produced by Machine Products, Inc.

Determine the least squares trend equation. Estimate the amount of scrap for the year 2003.

Year Code scrap(tons)

1997 1 2.0

1998 2 4.0

1999 3 3.0

2000 4 5.0

2001 5 6.0

9. Victor Anderson, the owner of Anderson Belts, Inc., is studying absenteeism among his employees. His workforce is small, consisting of only five employees. For the last three years he recorded the following number of employee absences, in days, for each quarter.

Determine a typical seasonal index for each of the four quarters.

Quarter

Year I II III IV

1999 4 10 7 3

2000 5 12 9 4

2001 6 16 12 4

Leave all answers in the same area as the example. easy to read please.

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