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.
To prove Sara's claim that the number of pages she has read is proportional to the number of minutes she has spent reading, the correct action is:
D. Plot the coordinate pairs on a graph and show that the points make a straight line through the origin.
A straight line passing through the origin on a graph indicates a proportional relationship between the variables.
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
To find the difference between the two measurements, subtract the initial temperature from the final temperature.
Final temperature - Initial temperature = Difference
(-26 °C) - (-17 °C) = -26 °C + 17 °C = -9 °C
Therefore, the difference between the two measurements is 9 °C.
The correct answer is B. 9 °C.
Christian got a haircut yesterday afternoon. If the hair stylist charged $18 and Christian gave a 20% tip, how much did he pay for the haircut?
A.
$3.60
B.
$14.40
C.
$21.60
D.
$22.60
To calculate the total amount that Christian paid for the haircut, we need to add the cost of the haircut to the tip amount.
The cost of the haircut is $18.
The tip amount is 20% of $18, which can be calculated by multiplying $18 by 0.20: $18 * 0.20 = $3.60.
Therefore, the total amount Christian paid for the haircut is $18 + $3.60 = $21.60.
The correct answer is C. $21.60.