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Mathematics, 21.04.2020 03:56 ladybugys

PLEASE HURRY AND ANSWER ALL THE QUESTIONS WRITTEN PLEASE. 12 QUESTIONS TOTAL.
Question 1:
A company rents gym equipment for a fixed amount plus a fee based on the number of days for which the equipment is rented. The table below shows the total charges, y, in dollars, of renting gym equipment for x number of days:

Gym Equipment Rentals
Number of Days
(x) Total Charges (dollars)
(y)
0 25
1 40
2 55

What is the fixed amount charged?
$2
$15
$25
$40

Question 2:
Lisa reads an equal number of pages of a book every week. The graph below shows the number of pages of the book left to read, y, after x weeks:

A graph titled Lisas Book Reading shows Number of Weeks on the x-axis and Number of Pages Left on the y-axis. The scale on the x-axis shows numbers from 0 to 6 at increments of 1, and the scale on the y-axis shows numbers from 0 to 350 at increments of 50. A straight line joins the ordered pairs 0, 250 and 1, 200 and 2, 150 and 3, 100 and 4, 50 and 5, 0.

Which equation best models the relationship between x and y?

y = βˆ’50x + 250
y = βˆ’5x + 50
y = βˆ’50x + 350
y = βˆ’5x + 250

Question 3:

Two lines, A and B, are represented by equations given below:

Line A: y = x βˆ’ 2
Line B: y = 3x + 4

Which of the following shows the solution to the system of equations and explains why?

(βˆ’3, βˆ’5), because the point does not lie on any axis
(βˆ’3, βˆ’5), because the point satisfies both equations
(βˆ’4, βˆ’8), because the point satisfies one of the equations
(βˆ’4, βˆ’8), because the point lies between the two axes

Question 5:
Sue surveyed the students at her school to find out if they like sandwiches and/or tacos. The table below shows the results of the survey:

Like Sandwiches

Do Not Like Sandwiches

Total

Like Tacos

43

7

50

Do Not Like Tacos

27

23

50

Total

70

30

100

If a student likes sandwiches, what is the probability that student also likes tacos?
43%
61.4%
71.4%
86%

Which graph represents a positive linear association between x and y?

Graph A
Graph B
Graph C
Graph D

Question 7:
A student is trying to solve the system of two equations given below:

Equation P: y + z = 6
Equation Q: 5y + 9z = 1

Which of these is a possible step used in eliminating the y-term?

(y + z = 6) β‹… 9
(y + z = 6) β‹… βˆ’5
(5y + 9z = 1) β‹… 9
(5y + 9z = 1) β‹… 5

Question 8:

The tables below show four sets of data:

Set A
x
1
2
3
4
5
6
7
8
9
y
10
9
8
7
6
5
4
3
2
Set B
x
1
2
3
4
5
6
7
8
9
y
3
4
5
6
7
8
9
10
11

Set C
x
1
2
3
4
5
6
7
8
9
y
8
6
5
4
3.5
3
2.5
2
2
Set D
x
1
2
3
4
5
6
7
8
9
y
1
2.5
2.5
3
4
5
6
8
9

For which set of data will the scatter plot represent a positive nonlinear association between x and y?
Set A
Set B
Set C
Set D

Question 9:

An equation is shown below:

4(2x βˆ’ 3) = 1

Which of the following correctly shows the steps to solve this equation?

Step 1: 6x βˆ’ 7 = 1; Step 2: 6x = 8
Step 1: 6x + 1 = 1; Step 2: 6x = 0
Step 1: 8x βˆ’ 12 = 1; Step 2: 8x = 13
Step 1: 8x βˆ’ 3 = 1; Step 2: 8x = 4

Question 11:
The graph below shows the distance, y, in feet, of a mouse from its hole, for a certain amount of time, x, in minutes:

Graph titled Distance Vs Time is shown with Time in minutes along the x-axis and Distance from Hole in feet along the y-axis. The scale on the x-axis shows the numbers 0 to 45 at increments of 9, and the scale on the y-axis shows the numbers 3 to 24 at increments of 3. A straight line joins the ordered pairs 0, 9 and 9, 12 and 18, 15 and 27, 18 and 36, 21.

Based on the graph, what is the initial value of the graph and what does it represent?

0.23 foot per minute; it represents the speed of the mouse
9 feet; it represents the original distance of the mouse from its hole
0.23 foot; it represents the original distance of the mouse from its hole
9 feet per minute; it represents the speed of the mouse

Question 12:

Two equations are given below:

m + 5n = 20
m = n βˆ’ 4

What is the solution to the set of equations in the form (m, n)?

(3, 7)
(0, 4)
(5, 1)
(2, 6)

Question 13:

The distance, y, in miles, traveled by a car for a certain amount of time, x, in hours, is shown in the graph below:

A graph titled Motion of a Car is shown with Time in hours labeled on x-axis and Distance from Starting Point in miles labeled on y-axis. The scale on the x-axis shows the numbers 1, 2, 3, 4, 5, 6, and the scale on the y-axis shows the numbers 0, 13, 26, 39, 52, 65, 78. There are three straight lines in the graph. The first line joins ordered pair 0, 0 with 2, 26. The second straight line joins 2, 26 and 3,26 and the third straight line joins ordered pair 3,26 with the ordered pair 5,52.

Which of the following best describes the motion of the car shown?

It travels for 2 hours, then stops for 3 hours, and finally travels again for 2 hours.
It travels for 2 hours, then stops for 3 hours, and finally travels again for 5 hours.
It travels for 2 hours, then stops for 1 hour, and finally travels again for 5 hours.
It travels for 2 hours, then stops for 1 hour, and finally travels again for 2 hours.

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