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

your exact question is kind of difficult to understand, so maybe an example will explain what you're supposed to do? i'll work through the first problem on the worksheet.

suppose you have a tray of 652 brownies, and you have 5 friends that you want to feed without picking favorites. how many brownies can you dole out to each of your friends in equal amounts? how many will be left over for you to eat?

what you're doing here is finding a way to arrange the number 652 as the sum of integer multiple of 5 and some remainder:

here ("q" for quotient) is the number of brownies each of your friends get, and is the remainder. that's the basic idea behind division.

we break up the number 652 into parts so that the leading digit stands on its own:

652 = 600 + 52

first we check if it's possible to hand out exactly 100 brownies to each friend. with 5 friends, this means we want to know if we can take out 500 brownies from the tray. we can do this 1 time because we have 600 brownies to take from, and when we do that we're left with 100 + 52 brownies to divvy up. so we know that

652 = 1*500 + 152

next we want to know if it's possible to hand out exactly 10 brownies per friend. if we can, we have to remove 50 brownies from the tray each time until we can't. we have 152 brownies left, and we know that 3(50) = 150, so

152 = 3*50 + 2

now we have 2 brownies left in the tray. is it possible to hand 1 out to each of your 5 friends? no, you'd need a minimum of 5 brownies to do that. so the last 2 are yours.

putting everything together, we found that

652 = 1*500 + 3*50 + 2

and we can rearrange this to write

652 = 5*100 + 5*30 + 2

652 = 5(100 + 30) + 2

652 = 5*130 + 2

so and .

you might be more accustomed to the table depicting the algorithm. that's just a compact way of organizing what we've done above. you can consult the image i've attached below.

question 1: step-by-step explanation:

1/4 of 84 = 84÷4= 21