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# a foodcart vendor learned that by pricing the burritos at $7 each sales reach 200 a day and pricing at $9 they sell 150 ?

write a linear equation that models the number of burritos sold per day when the price is in x dollars each

### 3 Answers

- billrussell42Lv 72 months agoFavorite Answer
N = kx + c

plug in the numbers to determine constants

200 = k(7) + c

150 = k(9) + c

c = 200 – 7k

c = 150 – 9k

200 – 7k = 150 – 9k

9k – 7k = 150 – 200

2k = – 50

k = –25

c = 200 – 7k

c = 200 – 7(–25)

c = 200 + 175

c = 375

eq is

N = –25x + 375

check

N = –25x + 375

N = –25•7 + 375 = –175 + 375 = 200

N = –25•9 + 375 = –225 + 375 = 150

ok

- ?Lv 72 months ago
Let x = cost per burrito

y = total day's sales

You have 2 points ($7, $200) and ($9, $150)

The slope can be calculated as

$200 - $150 50

m = ----------------- = ----- = -25

$7 - $9 -2

The linear equation that models the number of burritos sold per day is

y - 200 = -25 (x - 7)

y - 200 = -25x + 175

y = -25x + 375 ..................ANS

- mizooLv 72 months ago
y = nx + b

for x = $7, y = $200

for x = $9, y = $150

200 = 7n + b

150 = 9n + b

n = -25

b = 375

=> y = -25x + 375