A vendor at the State Fair has learned that, by pricing his deep fried bananas on a stick at $1.00, sales will reach 82 bananas per day. Raising the price to $1.75 will cause the sales to fall to 52 bananas per day. Let y be the number of bananas the vendor sells at x dollars each. Write a linear equation that models the number of bananas sold per day when the price is x dollars each.
1 answer:
Answer:
Y=-40x+122
Step-by-step explanation:
hello
Due to the nature of the data, it is most convenient to model this problem as a linear function.
To solve this problem we must use the equation that defines a line, then start assigning the corresponding values
y1=82bananas per day
X1=1 dolar
y2=52bananas per day
x2=1.75dolar
line ecuation
y − y 1 = m(x − x 1 )
where
solving:
Y-82=-40(x-1)
Y=-40x+40+82
Y=-40x+122
let's try the result!
Price =1dolar
Y=-40(1)+122=82bananas per day
Price=1.75dolar
Y=-40(1.75)+122=52bananas per day
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