X=Height Above Canyon Floor Y=Time (minutes)
X360 Y0
X280 Y3
X160 Y10
X80 Y14
Which statement best interprets the rate of change of the linear model shown in the table?
1. The elevation of a hiker who is hiking up from a canyon floor changes at a rate of 20 feet per minute.
2. The elevation of a hiker who is hiking up from canyon floor changes at a rate of , negative 20, feet per minute.
3. The elevation of a hiker who is hiking down to a canyon floor changes at a rate of 20 feet per minute.
4. The elevation of a hiker who is hiking down to a canyon floor changes at a rate of −20 feet per minute.
3 answers
2. The elevation of a hiker who is hiking up from the canyon floor changes at a rate of negative 20 feet per minute.
Number of Months Cost ($)
1m = $74
2m = $99
3m = $124
4m = $149
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.
A. $37.25
B. $49
C. $25
D. $74
1m = $74
2m = $99
3m = $124
4m = $149
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.
A. $37.25
B. $49
C. $25
D. $74
The slope represents the rate of change of the cost per month. We can use the formula for slope:
slope = (change in y)/(change in x)
In this case, y is the cost and x is the number of months. Let's choose two points from the table to calculate the slope. We can choose (1, 74) and (2, 99):
slope = (99-74)/(2-1) = 25
Therefore, the slope or monthly cost for the gym membership is $25. Answer: C. $25.
slope = (change in y)/(change in x)
In this case, y is the cost and x is the number of months. Let's choose two points from the table to calculate the slope. We can choose (1, 74) and (2, 99):
slope = (99-74)/(2-1) = 25
Therefore, the slope or monthly cost for the gym membership is $25. Answer: C. $25.