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A medical clinic is reducing the number of incoming patients by giving vaccines before flu season. During week 5 of flu season, the clinic saw 75 patients. In week 10 of flu season, the clinic saw 50 patients. Assume the reduction in the number of patients each week is linear. Write an equation in function form to show the number of patients seen each week at the clinic.
a) f(x) = 5x + 100
b) f(x) = −5x + 100
c) f(x) = 25x + 75
d) f(x) = −25x + 75

Answer :

Answer:

b) f(x)=-5x+100

Step-by-step explanation:

i guessed ngl.. but it was right.

The function to show the no. of patients is f(x) + 5x = 100, which is Option(B).

What is meant by linear function?

A mathematical function in which the variables only exist in the first degree, are multiplied by constants, and can only be combined with addition and subtraction.

Steps:

  • Let's assume that No. of weeks is plotted on the x-axis and No. of patients is plotted on the y-axis.
  • So we get Coordinates of 2 points which are (5,75) and (10,50)
  • Now we can find the equation of line connecting them

Let's assume

(5,75) - (x1 , y1) and (10,50) - (x2 , y2)

m(slope) = (y2 - y1) / (x2 - x1)

m = (50 - 75) / (10 - 5)

m = -25 / 5

m = -5

Equation of line = y - y1 = m(x - x1)

y - 75 = -5(x - 5)

y - 75 = -5x + 25

y + 5x = 100

Hence the equation of function is f(x) + 5x = 100.

Learn more about function on:

https://brainly.com/question/11624077

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