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Maggie’s weekly income depends of the amount of her sales. The linear equation y=.06x+450 is used...

  1. Maggie’s weekly income depends of the amount of her sales. The linear equation y=.06x+450 is used to determine her weekly income where x is sales and y is income.
    1. What does the rate of change represent in this problem? Interpret the answer in the context of the problem.
  1. Determine the y-intercept and interpret the meaning in context of the problem.
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Answer #1

Let's x is sales and y is income

The linear equation y=.06*x + 450 is used to determine Maggie's weekly income.

a)What does the rate of change represent in this problem? Interpret the answer in the context of the problem.

Rate of change is also called a slope in the linear equation

Here the rate of change is the coefficient of X in the equation = 0.06

Rate of change = 0.06

Interpretation:- As an amount of sale of maggies increase by one unit the expected weekly income from Magii is increased by 0.06 unit

b) determine the y-intercept and interpret the meaning in the context of the problem.

The Y-intercept is a constant term in a linear equation.

Here Y-intercept = 450

It is interpreted as when the amount of sale of Maggi is 0, then the expected weekly income is 450 units.

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