Question

(50 POINTS) A group of workers is harvesting berries at a constant rate. An equation that represents the number of baskets of berries the workers picked over a period of time, in hours, is y = 5x + 10.
(a) What are the slope and the y-intercept for the equation that represents the number of baskets of berries the workers picked over a period of time?
(b) What are the rate of change and the initial amount? Explain the meaning of the rate of change and the initial amount for the situation.
(c) Use graph paper to draw a graph representing the situation. Label the axes appropriately.

Answer 1

Hi There!

Follow y = mx + b

m = slope

b = y intercept

(a) What are the slope and the y-intercept for the equation that represents the number of baskets of berries the workers picked over a period of time?

Slope = 5

Y intercept = 10

(b) What are the rate of change and the initial amount? Explain the meaning of the rate of change and the initial amount for the situation.

The rate of change is how much it takes for the amoun to change. The initial amount should be going up with a slope of 5 each time.

(c) Use graph paper to draw a graph representing the situation. Label the axes appropriately.

Start at the origin than continue with a slope of 5 and make sure the y intercept is correctly graphed.

Answer 2

A) y = 5x + 10

B) y    number of baskets of berries

x    time in hours during which the group picked berries

5    the slope, meaning 5 baskets per hour

10   Initial number of baskets of berries - no reason is determined from the description.

C) linked in picture