Question

HURRY HELP ME! A group of workers is harvesting berries at a constant rate. The following equation represents the total number of baskets of berries the workers picked over a period of time, in hours y = 10x + 5.

What are the slope and the y-intercept for the equation?
X represents the hours, what does y represent and measure in the context of this situation?
What are the rate of change and the initial amount? Explain the meaning of the rate of change and the initial amount in the context of the situation.
Use graph below to draw a graph for the equation y=10x+5. Label the axes appropriately for the situation.

Answer 1

Explanation:

The equation y=10x+5 is in the y=mx+b format, where m is the slope and b is the y-intercept.

The slope is 10 and the y-intercept is 5.

Since x represent the number of hours picking berries, y would represent the total number of berries picked.

Y-intercept (or the initial amount) is 5, and slope (aka rate of change) is 10.

y=10x+5 replace x to 1 so it means that one hour has passed

y=10(1)+5 simplify

y=10+5

y=15 y represents the total number of berries picked

That means 15 berries would be picked in one hour.

I uploaded an image of how the graph would look like.