The question falls under a quadratic formula chapter yet, to me, is a linear problem.
Question:
A carpenter expects to sell 25 tables for $95. A survey determined that for each $2 reduction in the price of the table, he will likely gain three sales.
a) 95-2X is an expression that describes the price of the table based on the number of reductions and x represents the number of $2 reductions in price. Write a similar expression to describe the number of tables the carpenter can expect to sell, based on the number of reductions.
my answer is y=-2x +95
b) Write an equation to describe the carpenter's income as a product of the price of the table and the expected number of tables sold.
my answer is 2375=95(25)
c) The carpenter hopes to earn $3600 to pay for his time, materials, and sales booth, plus make a small profit. Determine a range for the number of $2 reductions he can apply to the price of the table.
y=-2x2 + 95
d) What is the optimal number of reductions? How many tables can the carpenter expect to sell and at what price?
$3600 = 2x2 + 95
Question:
A carpenter expects to sell 25 tables for $95. A survey determined that for each $2 reduction in the price of the table, he will likely gain three sales.
a) 95-2X is an expression that describes the price of the table based on the number of reductions and x represents the number of $2 reductions in price. Write a similar expression to describe the number of tables the carpenter can expect to sell, based on the number of reductions.
my answer is y=-2x +95
b) Write an equation to describe the carpenter's income as a product of the price of the table and the expected number of tables sold.
my answer is 2375=95(25)
c) The carpenter hopes to earn $3600 to pay for his time, materials, and sales booth, plus make a small profit. Determine a range for the number of $2 reductions he can apply to the price of the table.
y=-2x2 + 95
d) What is the optimal number of reductions? How many tables can the carpenter expect to sell and at what price?
$3600 = 2x2 + 95
