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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.

plz help and explain how you got your answers if possible brainliest will go to the best answer

Respuesta :

kman14
The slope is 5 the y intercept is 10 you will be adding 5 to 10 in the beginning then you will just add 5 to the last amount.

Solution:

The equation representing the number of baskets of berries the workers picked over a period of time, in hours, is

→y = 5 x + 10, x = Time, y= Number of basket in berries after time x.

(a) The given equation of line is

y = 5 x + 10

Comparing with slope intercept form of line which is , y= m x + c

where, m = Slope of line, c= y- intercept

Gives , slope of line = 5

Y intercept = 10

(b) Rate of change = Slope of line , y= 5 x +10

i.e , y'= 5 (Differentiating both sides)

Initial Amount is given by , when x=0, then putting the value of y in equation y= 5 x +10,

 ,y =10 is initial number of basket of berries

Initial Amount = 10 Basket of berries

Here The Meaning of Rate of change is the rate at which the number of basket of berries is increasing when time in hours is increasing.Here for t=1,2,3,4,5....

Rate of change = 5 Berries Basket per hour


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