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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 .
