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a manufacturer of graphing calculators has determined that 11,500 calculators per week will be sold at a price of $92. at a price of $88, it is estimated that 12,900 calculators would be sold. 1. Determine a linear function that predicts the number of calculators that will be sold per week at a price of x dollars.y = ____2. Use this model to predict the number of calculators that will be sold at a price of $65.



Answer :

1. The linear function that predicts the number of calculators that will be sold per week at a price of x dollars is given as follows: y = -350x + 43,700.

2. The estimate of the number of calculators that will be sold at a price of $65 is of: 20,950 calculators.

How to define the linear function?

The linear function for this problem is defined in slope-intercept format, as follows:

y = mx + b.

The coefficients of the function are given as follows:

  • m is the slope.
  • b is the y-intercept.

Two points from the function are given as follows:

(88, 12900) and (92, 11500)

Given two points, the slope is calculated as the change in the output divided by the change in the input, hence:

m = (11500 - 12900)/(92 - 88)

m = -350.

Hence:

y = -350x + b.

When x = 88, y = 12900, hence the intercept b is obtained as follows:

12900 = -350(88) + b

b = 43700.

Thus the function is given as follows:

y = -350x + 43,700.

For a price of $65, the estimate of the number of calculators sold is given as follows:

y = -350(65) + 43700 = 20,950 calculators.

More can be learned about linear functions at https://brainly.com/question/24808124

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