PLEASE HELP 3. A group of workers is harvesting berries at a constant rate. An equation that represents the total number of baskets of berries the workers picked over a period of time, in hours, is y = 7x + 15.
(a) What are the slope and the y-intercept for the equation?
(b) Which term represents the total number of baskets of berries the workers picked over a period of time?
(c) 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.
(d) Use graph below to draw a graph representing the situation. Label the axes appropriately.
(ps the letters need to be answered, they are not answers)

(a) The slope and the y-intercept are 7 and 15

(b) y represents the total number of baskets of berries the workers picked over a period of time

(c) The rate and the initial amounts are 7 baskets/hour and 15 baskets

(d) the graph attached down

Step-by-step explanation:

The form of the linear equation is y = m x + b, where

∵ The given equation is y = 7x + 15

→ Compare it with the form of the equation above

∴ m = 7 and b = 15

∵ m represents the slope

∴ The slope is 7

∵ b represents the y-intercept

∴ The y-intercept is 15

(a) The slope and the y-intercept are 7 and 15

The equation y = 7x + 15 represents the total number of baskets of berries the workers picked over a period of time, in hours

∵ y depends on x

∵ x represents the time

∴ y represents the total number of baskets of berries in x hours

(b) y represents the total number of baskets of berries the workers picked over a period of time

∵ The rate of change represented by the slope of the line

∵ The initial amount is represented by the y-intercept

∴ The rate of change = 7 baskets per hour

→ That means the workers picked 7 baskets per hour

∴ The initial amount is 15 baskets

→ That means there were 15 baskets of berries before the workers started

   to pick

(c) The rates and the initial amounts are 7 baskets/hour and 15 baskets

(d) Look at the attached graph