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# Liberty MATH 114 Homework 7 Answers Complete Solutions

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### Question 1

Find the coordinates of both intercepts for the line.

4 x + 3 y = 14

Part 1

The x intercept has the coordinates

Answer

Part 2

The y intercept has the coordinates

### Question 2

Find the coordinates of both intercepts for the line.

Part 1

The x intercept has the coordinates

Answer

Part 2

The y intercept has the coordinates

### Question 3

Fill the table. Graph the linear function.

f(x)=-2x

Part 1

x

0

1

2

3

Part 2

### Question 4

Fill the table. Graph the linear function.

f(x)=-3x+2

Part 1

x

0

1

2

3

Part 2

## STATUS

### Question 5

The percentage of the adult population that smokes can be modeled by the function P ( x ) whose graph is shown below. The input x is years after 1965.

In what year did the percentage of smokers drop below 20%?

The year that the percentage of smokers dropped below 20% is .

### Question 6

The percentage of the adult population that smokes can be modeled by the function P ( x ) whose graph is shown below. The input x is years after 1975.

Use the percentage of adults that smoke in 1955 and 2015 to find a linear formula for the function P(x).

### Question 7

A waitress made $3.34 per hour plus $70 in tips on a Friday evening shift. The amount of money she makes for the night is given by the function P ( t ) = 3.34 t + 70, where t is the number of hours she worked. How much would a waitress make a 4-hour shift if the pay rate is the same? A 9-hour shift?

Part 1

The waitress would make $ for a 4-hour shift.

Answer

Part 2

The waitress would make $ for a 9-hour shift.

### Question 8

A company started out spending $599 to get up and running, and then it planned on charging $22 for its product. The amount of profit (which is money brought in minus cost) is given by the function p(x)=22x-599. If the company sells 18 units, will it make enough to cover its start-up costs? How much will it make if it sells 120 units?

Part 1

If the company sells 18 units, it make enough to cover its start-up costs.

Answer

Part 2

If the company sells 120 units, it will make a profit of $

### Question 9

For skydivers, it is recommended that the parachute is opened by the time they reach an altitude of 2,950 ft. Once a parachute opens, skydivers fall at approximately 22 ft/sec. Assuming the chute opens at 2,950 ft, the height in feet of a skydiver can be modeled by the function H(x)=2950-22x, where x is the number of seconds after the chute opens.

Find the y intercept and explain what it means in the context of this problem.

Part 1

The y intercept is ( , ).

Answer

Part 2

At the altitude is feet.

### Question 10

For skydivers, it is recommended that the parachute is opened by the time they reach an altitude of 2,750 ft. Once a parachute opens, skydivers fall at approximately 22 ft/sec. Assuming the chute opens at 2,750 ft, the height in feet of a skydiver can be modeled by the function H(x)=2750-22x, where x is the number of seconds after the chute opens.

Find the x intercept and explain what it means in the context of this problem. Round to the nearest tenth if necessary

Part 1

The x intercept is ( , ).

Part 2

This means that it takes from the time the chute opens to .