1 of 51 of 5 Items
Question
Multiple Choice
The rate of change is constant in the table. Find the rate of change. Explain what the rate of change means for the situation.
The table shows the cost of a ski rental package for a given number of people.
People Cost ($)
4 160
5 200
6 240
7 280
(1 point)
Responses
1over280dollars per person; the cost is $1 for 280 people.
Image with alt text: 1over280 dollars per person; the cost is $1 for 280 people.
160over1 dollars per person; the cost is $160 for each person.
Image with alt text: 160over1 dollars per person; the cost is $160 for each person.
1over40 dollars per person; the cost is $40 for each person.
Image with alt text: 1over40 dollars per person; the cost is $40 for each person.
40over1 dollars per person; the cost is $40 for each person.
Image with alt text: 40over1 dollars per person; the cost is $40 for each person.
The correct answer is: 40 over 1 dollars per person; the cost is $40 for each person.
The rate of change is $40 for each additional person added to the ski rental package. This means that for every person added to the group, the cost of the ski rental package increases by $40.
2 of 52 of 5 Items
Question
Find the slope of the line.
A coordinate grid shows both the x- and y-axes from negative 5 to 5 and a line graphed connecting the points left-parenthesis negative 4 comma negative 1 right-parenthesis and left-parenthesis 0 comma negative 3 right-parenthesis.
(1 point)
Responses
one-half
Image with alt text: one-half
–one-half
– Image with alt text: one-half
–2
–2
2
2
To find the slope of the line connecting the points (-4, -1) and (0, -3), we use the slope formula:
Slope = (y2 - y1) / (x2 - x1)
Slope = (-3 - (-1)) / (0 - (-4))
Slope = (-3 + 1) / (0 + 4)
Slope = -2 / 4
Slope = -1/2
Therefore, the slope of the line is -1/2.
The correct response is: -one-half