4/3/2021 Southern New Hampshire University - 5-2 Problem Set: Module Five
[PRINT]
MAT-136-H7409 21EW4 Intro to Quantitative Analysis, 5-2 Problem Set: Module Five
Briana Tattersall, 4/3/21 at 8:30:32 PM EDT
Question1: Score 4/4
A clothing business finds there is a linear relationship between the number of shirts, n, it can sell
and the price, p, it can charge per shirt. In particular, historical data shows that 1,000 shirts can be
sold at a price of $30, while 3,000 shirts can be sold at a price of $14. Find a linear equation in the
form p (n) = mn + b that gives the price p they can charge for n shirts.
Because this answer involves an expression that is more complex than a whole number times n,
1
remember to type in multiplication symbols *. For example, if you wanted to enter n , type this in
2
as (1/2)*n.
p (n) =
Your response Correct response
-1/125*n+38 -1/125*n+38
Auto graded Grade: 1/1.0
Total grade: 1.0×1/1 = 100%
Feedback:
We can use the given information to calculate the slope.
p −p
2 1
m =
n −n
2 1
14−30
=
3,000−1,000
16
= −
2,000
1
= −
125
Substitute the slope and the coordinates of one of the points into the slope-intercept form.
https://snhu.mobius.cloud/modules/gradeProctoredTest.Login 1/18
,4/3/2021 Southern New Hampshire University - 5-2 Problem Set: Module Five
p = mn + b
1
(30) = − (1,000) + b
125
30 + 8 = b
b = 38
1
The linear equation that gives the price p they can charge for n shirts is p (n) = − n + 38 .
125
Question2: Score 0/4
A farmer finds there is a linear relationship between the number of bean stalks, n, she plants and
the yield, y, each plant produces. When she plants 30 stalks, each plant yields 27 oz of beans.
When she plants 34 stalks, each plant produces 25 oz of beans. Find a linear relationship in the
form y = mn + b that gives the yield when n stalks are planted.
y =
Your response Correct response
3/9*n+17 -1/2*n+42
Auto graded Grade: 0/1.0
Total grade: 0.0×1/1 = 0%
Feedback:
The given information gives us two input-output pairs: (30, 27) and (34, 25) . We start by finding
the rate of change.
https://snhu.mobius.cloud/modules/gradeProctoredTest.Login 2/18
, 4/3/2021 Southern New Hampshire University - 5-2 Problem Set: Module Five
y −y
2 1
m =
n −n
2 1
25−27
=
34−30
−2
=
4
1
= − oz of beans per stalk
2
We substitute the slope and a given point into the slope-intercept form to find the equation of the
line.
y = mn + b
1
27 = − (30) + b
2
27 + 15 = b
b = 42
1
The linear relationship that gives the yield when n stalks are planted is y = − n + 42 .
2
Question3: Score 3/3
Determine if the points are solution points to the inequalities below. If the point is a solution, enter
yes. If the point is not a solution, enter no. Enter yes or no in lower case letters (no capital letters).
a. Is (4, 8) a solution to y < 12 − x ?
Your response Correct response
no no
Auto graded Grade: 1/1.0
b. Is (5, 10) a solution to y ≤ 14 − x ?
Your response Correct response
no no
Auto graded Grade: 1/1.0
https://snhu.mobius.cloud/modules/gradeProctoredTest.Login 3/18
[PRINT]
MAT-136-H7409 21EW4 Intro to Quantitative Analysis, 5-2 Problem Set: Module Five
Briana Tattersall, 4/3/21 at 8:30:32 PM EDT
Question1: Score 4/4
A clothing business finds there is a linear relationship between the number of shirts, n, it can sell
and the price, p, it can charge per shirt. In particular, historical data shows that 1,000 shirts can be
sold at a price of $30, while 3,000 shirts can be sold at a price of $14. Find a linear equation in the
form p (n) = mn + b that gives the price p they can charge for n shirts.
Because this answer involves an expression that is more complex than a whole number times n,
1
remember to type in multiplication symbols *. For example, if you wanted to enter n , type this in
2
as (1/2)*n.
p (n) =
Your response Correct response
-1/125*n+38 -1/125*n+38
Auto graded Grade: 1/1.0
Total grade: 1.0×1/1 = 100%
Feedback:
We can use the given information to calculate the slope.
p −p
2 1
m =
n −n
2 1
14−30
=
3,000−1,000
16
= −
2,000
1
= −
125
Substitute the slope and the coordinates of one of the points into the slope-intercept form.
https://snhu.mobius.cloud/modules/gradeProctoredTest.Login 1/18
,4/3/2021 Southern New Hampshire University - 5-2 Problem Set: Module Five
p = mn + b
1
(30) = − (1,000) + b
125
30 + 8 = b
b = 38
1
The linear equation that gives the price p they can charge for n shirts is p (n) = − n + 38 .
125
Question2: Score 0/4
A farmer finds there is a linear relationship between the number of bean stalks, n, she plants and
the yield, y, each plant produces. When she plants 30 stalks, each plant yields 27 oz of beans.
When she plants 34 stalks, each plant produces 25 oz of beans. Find a linear relationship in the
form y = mn + b that gives the yield when n stalks are planted.
y =
Your response Correct response
3/9*n+17 -1/2*n+42
Auto graded Grade: 0/1.0
Total grade: 0.0×1/1 = 0%
Feedback:
The given information gives us two input-output pairs: (30, 27) and (34, 25) . We start by finding
the rate of change.
https://snhu.mobius.cloud/modules/gradeProctoredTest.Login 2/18
, 4/3/2021 Southern New Hampshire University - 5-2 Problem Set: Module Five
y −y
2 1
m =
n −n
2 1
25−27
=
34−30
−2
=
4
1
= − oz of beans per stalk
2
We substitute the slope and a given point into the slope-intercept form to find the equation of the
line.
y = mn + b
1
27 = − (30) + b
2
27 + 15 = b
b = 42
1
The linear relationship that gives the yield when n stalks are planted is y = − n + 42 .
2
Question3: Score 3/3
Determine if the points are solution points to the inequalities below. If the point is a solution, enter
yes. If the point is not a solution, enter no. Enter yes or no in lower case letters (no capital letters).
a. Is (4, 8) a solution to y < 12 − x ?
Your response Correct response
no no
Auto graded Grade: 1/1.0
b. Is (5, 10) a solution to y ≤ 14 − x ?
Your response Correct response
no no
Auto graded Grade: 1/1.0
https://snhu.mobius.cloud/modules/gradeProctoredTest.Login 3/18
