mth105 unit 4 quiz
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School
Eastern Gateway Community College *
*We aren’t endorsed by this school
Course
105
Subject
Mathematics
Date
Feb 20, 2024
Type
docx
Pages
7
Uploaded by tierea2005
Question 1.
Version 1*/1. Score:
1/1
In which quadrant does the point (4,5) lie?
III
I
II
IV
Correct
Score: 1/1
Time spent on this version: 0.4 minutes.
Question 2.
Version 1*/1. Score:
1/1
Find the coordinates of the point plotted below
12345-1-2-3-4-512345-1-2-3-4-5
Coordinates: (
Correct,
Correct)
Score: 0.5/0.5 0.5/0.5
Time spent on this version: 0.5 minutes.
Question 3.
Version 1*/1. Score:
1/1
Plot the points (0,4), (-3,0), (-3,2), (5,-5).
12345-1-2-3-4-512345-1-2-3-4-5
Clear All
Draw:
Dot
Correct
Score: 1/1
Time spent on this version: 3.1 minutes. Show all tries
Question 4.
Version 1*/1. Score:
1/1
Determine whether the given points are on the graph of
�=2�+3.
Select all points that lie on the graph.
-3
2
(6,15)
(-1,1)
(6,14)
(-1,-4)
Correct
Score: 1/1
Time spent on this version: 2.9 minutes. Show all tries
Question 5.
Version 1*/1. Score:
1/1
Sketch a graph of �=-�+1
12345-1-2-3-4-512345-1-2-3-4-5
Clear All
Draw:
Correct
Score: 1/1
Time spent on this version: 2.2 minutes.
Question 6.
Version 1*/1. Score:
1/1
Sketch a graph of �=-32�+1
12345-1-2-3-4-512345-1-2-3-4-5
Clear All
Draw:
Correct
Score: 1/1
Time spent on this version: 1.2 minutes.
Question 7.
Version 1*/1. Score:
1/1
Sketch a graph of �=-3
12345-1-2-3-4-512345-1-2-3-4-5
Clear All
Draw:
Correct
Score: 1/1
Time spent on this version: 1.1 minutes.
Question 8.
Version 1*/1. Score:
1/1
510-5-10246810-2-4-6-8-10xy
Write the equation of the line shown. Be sure to use the correct variable.
Equation:
$y=-4$
y
=−4
Correct
Score: 1/1
Time spent on this version: 0.8 minutes.
Question 9.
Version 1*/1. Score:
1/1
A company makes pens. They sell each pen for $7.
Their revenue is represented by R = 7 x.
The cost to make the pens is $1 each with a one time start up cost of $4000.
Their cost is represented by C = 1 x + 4000.
a) Find the profit, P, (P = R - C) when the company sells 1000 pens.
-7000
2000
11000
7000
-2000
Correct
b) Find the number of pens they need to sell to break even (when R = C).
667
800
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572
4000
Correct
Score: 0.5/0.5 0.5/0.5
Time spent on this version: 4.3 minutes. Show all tries
Question 10.
Version 1*/1. Score:
1/1
48-4-84-4
Use the graph to identify the � and � intercepts of the graph. Note the scale on each axis since they may not be the same.
� intercept = (
Correct,0)
� intercept = (0,
Correct)
Score: 0.5/0.5 0.5/0.5
Time spent on this version: 1.5 minutes.
Question 11.
Version 1*/1. Score:
1/1
Suppose you were given $1000 from your uncle. You deposited that money in a bank and added $10 per month.
Write an equation to model how much money you have deposited after
� months. Let � be the amount you have deposited.
$s=1000+10m$
s
=1000+10
m
Correct
What 1-variable equation would you solve to figure out how many months it would take to save $10,000 dollars?
$10000=1000+10m$10000=1000+10
m
Correct
How many months would it take to save $10,000?
$900$900
Correct months
Score: 0.333/0.333 0.333/0.333 0.333/0.333
Time spent on this version: 4.8 minutes.
Question 12.
Version 1*/1. Score:
1/1
1234567-1-2-3-4-5-6-71234567-1-2-3-4-5-6-7
Find the slope of the line.
6
-4
Slope = �=
$-\frac{3}{4}$−
34
Correct
Enter your answer as an integer or as a reduced fraction in the form A/B.
Score: 1/1
Time spent on this version: 3.8 minutes.
Question 13.
Version 1*/1. Score:
1/1
A city's population in the year �=1950 was �=1,564,200. In 1974 the population was 1,567,800.
Compute the slope of the population growth (or decline) and choose the most accurate statement from the following:
The population is increasing at a rate of 150 people per year.
The population is decreasing at a rate of 200 people per year.
The population is decreasing at a rate of 100 people per year.
The population is increasing at a rate of 100 people per year.
The population is decreasing at a rate of 150 people per year.
The population is increasing at a rate of 200 people per year.
Correct
Score: 1/1
Time spent on this version: 2.4 minutes.
Question 14.
Version 1*/1. Score:
1/1
If you drive 120 miles and use 8 gallons of gas, what is your rate?
Correct
Correct
Score: 0.5/0.5 0.5/0.5
Time spent on this version: 0.8 minutes.
Question 15.
Version 1*/1. Score:
1/1
15
mi/g or miles per gallon
Give the slope and the
y
-intercept of the line �=-10�-6.
Make sure the y-intercept is written as a coordinate.
Slope =
$-10$−10
Correct
y
-intercept =
$\left(0,-6\right)$(0,−6)
Correct
Score: 0.5/0.5 0.5/0.5
Time spent on this version: 1.5 minutes.
Question 16.
Version 1*/1. Score:
1/1
If you drive for 6 hours and travel 180 miles, what is your rate?
Correct
Correct
Score: 0.5/0.5 0.5/0.5
Time spent on this version: 3.2 minutes.
Question 17.
Version 1*/1. Score:
1/1
Sketch a graph of the equation
�=-�
123456-1-2-3-4-5-6123456-1-2-3-4-5-6
Clear All
Draw:
Correct
Score: 1/1
Time spent on this version: 1.3 minutes.
Question 18.
Version 1*/1. Score:
0.5/1
The phone company NextFell has a monthly cellular plan where a customer pays a flat monthly fee and then a certain amount of money per minute used on the phone. If a customer uses 380 minutes, the monthly cost will be $154. If the customer uses 760 minutes, the monthly cost will be $268.
A) Find an equation in the form �=��+�, where � is the number of monthly minutes used and � is the total monthly of the NextFell plan.
Answer: �=
$268x+760$268
x
+760
Incorrect
B) Use your equation to find the total monthly cost if 733 minutes are used.
Answer: If 733 minutes are used, the total cost will be
Correct dollars.
Score: 0/0.5 0.5/0.5
Time spent on this version: 32.7 minutes. Show all tries
30
mi/h or miles per hour
260
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