Question

Height Above Canyon Floor Time (minutes)

360
0
280
3
160
10
80
14
Use the table to answer the question.
Which statement best interprets the rate of change of the linear model shown in the table?
(1 point)
• The elevation of a hiker who is hiking up from a canyon floor changes at a rate of 20 feet per minute.
• The elevation of a hiker who is hiking down to a canyon floor changes at a rate of 20 feet per minute.
• The elevation of a hiker who is hiking up from canyon floor changes at a rate of -20 feet per minute.
• The elevation of a hiker who is hiking down to a canyon floor changes at a rate of -20 feet per minute.
Answer
Number of Months:
1
2
3
4

$Cost:
74
99
124
149

Use the table to answer the question.
The table below shows the cost for a gym membership at the local fitness center with an initial start-up fee charged in the first month. Find the slope, or monthly cost.
(1 point)
• $74
• $25
• $37.25
• $49
Answer
A linear graph of parking fees in dollars based on hours parked has the points (2, 20) and (6, 44). How would you interpret the slope of the graph as the rate of change in the parking fee for each additional hour of parking? (1 point)
• The parking fee rises by $6 with each additional hour.
• The parking fee rises by $7.33 with each additional hour.
• The parking fee rises by $10 with each additional hour.
• The parking fee rises by $8 with each additional hour.
Answer
The graph shows the number of gallons in a wading pool that is being drained. Using the points (1, 160) and (3,80) as (x1, 91) and (x2, Y2), what is the rate of change in the number of gallons in the pool after each hour has passed?
(1 point)
• 40 gal./hr.
• 1/40 gal./hr.
• -1/40 gal./hr.
• -40 gal./hr.
Answered by GPT 3.5
The elevation of a hiker who is hiking up from a canyon floor changes at a rate of -20 feet per minute.
Answered by GPT 3.5
$25
Answered by GPT 3.5
The parking fee rises by $6 with each additional hour.
Answered by GPT 3.5
To find the rate of change, we can use the slope formula.

The slope (rate of change) formula is:
Slope = (Y2 - Y1) / (X2 - X1)

Given points (1, 160) and (3, 80), we can assign these values as follows:
X1 = 1, Y1 = 160
X2 = 3, Y2 = 80

Plugging these values into the formula:
Slope = (80 - 160) / (3 - 1)
Slope = (-80) / 2
Slope = -40

Therefore, the rate of change in the number of gallons in the pool after each hour has passed is -40 gallons per hour.

So, the answer is:
-40 gal./hr.