3. 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 you if you can

a) the slope of the equation is 5, the y intercept is 10. 

b) the rate of change is just the slope, so 5 but it means that they are picking 5 berries over that period of time. the initial amount is just the y intercept which is 10. this is just how many berries you start with.

c)

Answer with Step-by-step explanation:

We are given that an equation which represents the number of baskets of berries the workers picked over a period of time (in hours)

a.It is compared with the equation

Where m=Slope

C=Y-intercept

Then, we get

m=5 and C=10

Therefore, slope=5 and y- intercept=10

b.Rate of change=Slope of equation =5

Substitute x=0 then,we get

Initial amount=10

The rate of change 5 represents the number of baskets of berries are harvesting per hour.

Initial amount=10 represents the number of baskets of berries initially when time x=0

c.Substitute x=0 then we get

y=10

Substitute y=0 then, we get

Therefore, the equation passing through the points (0,10) and (-2,0).

Mark the point on graph and then meet the points.

for this pair of functions g(x)=x-2 and f(x)=|x| is (g o f)(a)= |a| -2

step-by-step explanation:

g(x)=x-2

f(x)=|x|

(g o f)(a)=?

(g o f)(x)=g(f(x))

(g o f)(x)=g(|x|)

(g o f)(x)=|x|-2

(g o f)(a)=|a|-2