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wariber [46]
3 years ago
5

After 4 days, a bookstore has 140 copies of a new title still on hand. After 9 days, the bookstore has 50 copies still on hand.

Model this situation by writing an equation of the form c(t)=mt+b where c is the number of copies still on hand after t days of being available
Mathematics
1 answer:
alexira [117]3 years ago
8 0

Answer:

c(t) =-18t +212

Step-by-step explanation:

Given

(t_1,c_1) = (4,140)

(t_2,c_2) = (9,50)

Required

Determine the equation

First, we calculate the slope (m)

m = \frac{c_2 - c_1}{t_2 - t_1}

m = \frac{50 - 140}{9-4}

m = \frac{-90}{5}

m = -18

The equation is then calculated as:

c =m(t - t_1) + c_1

c =-18*(t - 4) + 140

c =-18t +72 + 140

c =-18t +212

Hence, the function is:

c(t) =-18t +212

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