What is the rate of change of this linear function? In other words, by how much does the elevation of the hot air balloon change for every additional minute?
x
y
0
1
2
3
4
5
6
7
8
9
10
0
250
500
750
1,000
1,250
1,500
1,750
2,000
2,250
2,500
2,750
3,000
Time in minutes
Elevation (feet)
y=−500x+3000
Rate of change:
You got it!
What is the initial value, or the vertical intercept, in this linear function?
x
y
0
1
2
3
4
5
6
7
8
9
10
0
250
500
750
1,000
1,250
1,500
1,750
2,000
2,250
2,500
2,750
3,000
Time in minutes
Elevation (feet)
y=−500x+3000
Rate of change: -500
Initial value:
Excellent!
Is the linear function increasing or decreasing?
x
y
0
1
2
3
4
5
6
7
8
9
10
0
250
500
750
1,000
1,250
1,500
1,750
2,000
2,250
2,500
2,750
3,000
Time in minutes
Elevation (feet)
y=−500x+3000
Rate of change: -500
Initial value: 3000
This linear function is
. We can see that in the graph because the line is going
from left to right. We can see that in the equation because the rate of change is
1 answer
negative.
This linear function is decreasing. We can see that in the graph because the line is going downward from left to right. We can see that in the equation because the rate of change is -500, which indicates that the elevation decreases by 500 feet for every additional minute.
