Amedical clinic is reducing the number of incoming patients by giving vaccines before flu season. during week 5 of flu season, the clinic saw 85 patients. in week 10 of flu season, the clinic saw 65 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) = 20x + 85
b. f(x) = −20x + 85
c. f(x) = 4x + 105
d. f(x) = −4x + 105

D.f(x) = −4x + 105

Step-by-step explanation:

Since the function in linear, we know it has a slope.

We know 2 points

(5,85) and (10,65) are 2 points on the line

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

   = (65-85)/(10-5)

    =-20/5

    =-4

We know a point and the slope, we can use point slope form to write the equation

y-y1 =m(x-x1)

y-85 = -4(x-5)

Distribute

y-85 = -4x+20

Add 85 to each side

y-85+85 = -4x+20+85

y = -4x+105

Changing this to function form

f(x) =-4x+105

$53.50

step-by-step explanation:

you have to subtract the amount of money chuck earned ($72.50) by the cost of the gas for the mower ($11.25) and the new string for the trimmer he bought ($7.75).

72.50-11.25=61.25

and then subtract $61.25 by the second thing he bought (the new string for the trimmer)

61.25-7.75=53.5

so in total it's $53.50 (53 dollars and 50 cents)

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step-by-step explanation: