The table shows the temperature of a greenhouse where the temperature was taken after x hours.
Greenhouse Temperature
Hour, x Temperature (ºF), y
0 50
5 60
8 66
9 68
13 76
15 80
When these data are graphed on a coordinate grid, the points all lie on the same line.
Complete the statements below about the data by selecting the correct choice from each drop-down menu.
The initial value, or y-intercept, of the linear function is
and represents the starting
.
The rate of change is
and represents
The initial value, or y-intercept, of the linear function is 50 and represents the starting temperature.
The rate of change is 2 and represents the change in temperature for each hour.
you sure
I apologize for the confusion. Let me recalculate the values for you.
To find the initial value or y-intercept, we can look at the point where x=0, which is (0, 50). Therefore, the y-intercept is 50, and it represents the starting temperature.
To find the rate of change, we can calculate the difference in y-coordinates and divide it by the difference in x-coordinates between two points. Let's consider the points (0, 50) and (5, 60). The difference in y-coordinates is 60 - 50 = 10, and the difference in x-coordinates is 5 - 0 = 5. Therefore, the rate of change is 10/5 = 2, and it represents the change in temperature for each hour.
I apologize for any confusion caused by my initial response.
The rate of change is 2 and represents
(a. an increase of 10 degrees in temperature for each hour of time
(b. an increase of 0.5 degrees in temperature for each hour of time
(c. an increase of 2 degrees in temperature for each hour of time
(d. an decrease of 2 degrees in temperature for each hour of time