Mr. Reynolds goes for a morning walk. The graph below shows the relationship between how many minutes he has walked, x, and the distance in feet he has walked, y.
The graph has numbers from 0 to 20 in increments of 4 on the x-axis and from 0 to 5,000 in increments of 500 on the y-axis. A straight line starts from (0, 0) and passes through (4, 1,000), (8, 2,000), (12, 3,000), (16, 4,000), and (20, 5,000).
What is the meaning of the point (8, 2,000) on the graph?
The point (8, 2,000) on the graph represents that Mr. Reynolds has walked for 8 minutes and has covered a distance of 2,000 feet.
A.
It means that Mr. Reynolds walks 8 miles in 2,000 minutes.
B.
It means that Mr. Reynolds walks 2,000 feet in 8 minutes.
C.
It means that Mr. Reynolds walks 2,000 feet per minute for 8 minutes.
D.
It means that Mr. Reynolds walks 8 feet in 2,000 minutes.
B. It means that Mr. Reynolds walks 2,000 feet in 8 minutes.
Sara claims that the number of pages she has read in her book is proportional to the number of minutes that she has spent reading. She collects several data points to prove her claim and expresses the data points as (x, y) coordinate pairs.
Which of the following actions could Sara take to prove her claim?
A.
Place the coordinate pairs in a table and show that they do not create equivalent ratios.
B.
Use the coordinate pairs to show that an equation of the form y = x + c can be written.
C.
List out the coordinate pairs and show that each y-value is a multiple of its associated x-value.
D.
Plot the coordinate pairs on a graph and show that the points make a straight line through the origin.
C. List out the coordinate pairs and show that each y-value is a multiple of its associated x-value.
As part of an experiment in the science lab, a thermometer was inserted in a solution in order to measure the temperature over time. At 9:15 a.m. the temperature was –17 °C, and at 11:30 a.m. it was –26 °C.
What is the difference between these two measurements?
A.
8 °C
B.
9 °C
C.
11 °C
D.
43 °C
B. 9 °C
Simplify: 4x + 3 + (-3x) + 7x - 6x
Simplifying the expression:
4x + 3 + (-3x) + 7x - 6x
Combining like terms:
= (4x + 7x - 6x) + (-3x + 3)
= 5x + (-3x + 3)
= (5x - 3x) + 3
= 2x + 3
Therefore, the simplified expression is 2x + 3.