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1. 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.

1 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 t class=

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Answer:

a) Slope, m = 5

Y-intercept, c = 10

b) The rate of change represents the number of baskets of berries the workers picked increased by 5 units per unit of time.

The initial amount is 10 that is 10 baskets were picket in the starting of harvest.

Step-by-step explanation:

We are given the following in the question:

An equation that represents the number of baskets of berries the workers picked over a period of time.

[tex]y = 5x + 10[/tex]

a) Comparing the given equation to the point slope form of straight line,

[tex]y =mx +c[/tex]

where m is the slope and c is the y-intercept that is the value of y when x is zero.

Slope, m = 5

Y-intercept, c = 10

b) Rate of change is the slope of the given equation.

The rate of change means how the output is changing as the input changes.

The rate of change is the slope which is 5.

In this case we can interpret the rate of change as The rate of change represents the number of baskets of berries the workers picked increased by 5 units per unit of time.

The initial amount shows the output when the input is zero that is the number of  baskets of berries the workers picked before the workers starts harvesting.

It is represented by y-intercept.

The initial amount is 10 that is 10 baskets were picket in the starting of harvest.

c) The attached image shows the graph for the given equation.

Ver imagen ChiKesselman
MrRoyal

The equation for the number of baskets is an illustration of a linear function.

  • The slope is 5, and the y-intercept is 10
  • The rate of change is 5, and the initial amount  is 10

The function is given as:

[tex]\mathbf{y = 5x + 10}[/tex]

(a) The slope and the y-intercept

A linear function is represented as:

[tex]\mathbf{y = mx + b}[/tex]

Where:

m represents the slope, and b represents the y-intercept

By comparison, the slope is 5, and the y-intercept is 10

(b) The rate of change and the initial amount

The rate of change is the slope, and the initial amount is the y-intercept

By comparison, the rate of change is 5, and the initial amount  is 10

(c) The graph

See attachment

Read more about linear functions at:

https://brainly.com/question/21107621

Ver imagen MrRoyal

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