To write a linear equation to model the relationship between the weight of strawberries S and time T, we can use the formula for a linear equation: y = mx + b, where y represents the weight of strawberries (S), x represents the time (T), m represents the slope, and b represents the y-intercept.
To find the slope, we can use the formula:
slope (m) = (change in y) / (change in x)
Given that the cannery processed 1,445 pounds of strawberries in 4.5 hours and 2,320 pounds in 8 hours, we can calculate the slope as follows:
slope (m) = (2,320 - 1,445) / (8 - 4.5) = 875 / 3.5 = 250
Now that we have the slope, we can find the y-intercept (b) using one of the given data points. Let's use the data point (4.5, 1445):
1445 = 250 * 4.5 + b
1445 = 1125 + b
b = 1445 - 1125
b = 320
So, the linear equation that models the relationship between the weight of strawberries S and time T is:
S = 250T + 320
To find how many pounds of strawberries can be processed in 11 hours, we substitute T = 11 into the equation:
S = 250 * 11 + 320
S = 2750 + 320
S = 3070
Therefore, 3,070 pounds of strawberries can be processed in 11 hours.
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
A cannery processed 1,445 pounds of strawberries in 4.5 hours. The cannery processed 2,320 pounds in 8 hours.
Write a linear equation to model the relationship between the weight of strawberries S and time T.
How many pounds of strawberries can be processed in 11 hours?
1 answer