Question

Please help!!

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) Use graph paper below to draw a graph representing the situation. Label the axes appropriately.
(c) Use the equation or graph to predict how many baskets of berries will be picked in 8 hours: ____

Answer 1

(a) The slope of the equation is 5, and the y-intercept is 10.

(b) The graph can be drawn on graph paper with vertical axis representing the number of baskets of berries (y-axis) and the horizontal axis representing the time in hours (x-axis). The y-intercept is (0, 10), which means that when x=0, the workers have picked 10 baskets of berries. The slope of 5 indicates that for every hour, the workers pick an additional 5 baskets of berries. Draw a straight line starting from (0, 10) and slope upwards to represent this relationship.

(c) To predict the number of baskets of berries picked in 8 hours, substitute x=8 into the equation:

y = 5(8) + 10

y = 40 + 10

y = 50

So, according to the equation, the workers will pick 50 baskets of berries in 8 hours.

Answer 2

The equation y = 5x + 10 represents the number of baskets of berries picked over time. The slope is 5, indicating the rate of increase, and the y-intercept is 10, indicating the starting point. The workers will pick 50 baskets of berries in 8 hours.

Step-by-step explanation:

The equation y = 5x + 10 represents the number of baskets of berries the workers picked over a period of time, in hours. The slope of the equation is 5, which means that for every increase of 1 hour, the number of baskets of berries picked increases by 5. The y-intercept of the equation is 10, which means that when x (time) is 0, there are already 10 baskets of berries picked.

To draw a graph representing the situation, you can label the x-axis as 'Hours' and the y-axis as 'Baskets of Berries'. The graph will show a straight line that starts at the point (0, 10) and increases by 5 units on the y-axis for every 1 unit on the x-axis.

To predict how many baskets of berries will be picked in 8 hours, you can substitute x = 8 into the equation y = 5x + 10 and solve for y. y = 5(8) + 10 = 40 + 10 = 50. So, the workers will pick 50 baskets of berries in 8 hours.