SOLUTION: Market research shows that the demand curve for a new game is linear. It was found that there was a demand for 150 units at 35 pesos each and 300 units for 20 pesos. Write the line

Algebra.Com
Question 810195: Market research shows that the demand curve for a new game is linear. It was found that there was a demand for 150 units at 35 pesos each and 300 units for 20 pesos. Write the linear equation for the product and find the number of units that will sell at a price of 15 pesos.
Answer by TimothyLamb(4379)   (Show Source): You can put this solution on YOUR website!
150 units at 35 pesos
300 units for 20 pesos
---
(35, 150)
(20, 300)
---
user the two-point form:
y - y1 = ( (y2 - y1)/(x2 - x1) )(x - x1)
---
y - 150 = ( (300 - 150)/(20 - 35) )(x - 35)
y - 150 = ( (150)/(-15) )(x - 35)
y - 150 = (-10)(x - 35)
y - 150 = (-10)x + 350
---
y = (-10)x + 500
---
at 15 pesos sales will be (approximately, because this is a demand "model"): 350 units
---
Solve and graph linear equations:
https://sooeet.com/math/linear-equation-solver.php
---
Solve quadratic equations, quadratic formula:
https://sooeet.com/math/quadratic-formula-solver.php
---
Convert fractions, decimals, and percents:
https://sooeet.com/math/fraction-decimal-percent.php
---
Calculate and graph the linear regression of any data set:
https://sooeet.com/math/linear-regression.php

RELATED QUESTIONS

A company runs food device concessions for sporting events throughout the country their... (answered by CPhill)
A medical supply company found out that there is a demand on a new brand of alcohol in... (answered by CPhill,ikleyn)
A company runs food device concessions for sporting events throughout the country their... (answered by Solver92311)
Business and Finance. A demand equation (sometimes called a demand curve) shows how much (answered by stanbon)
1. In this problem, we will analyze the profit found for sales of decorative tiles. A... (answered by jim_thompson5910)
1. In this problem, we will analyze the profit found for sales of decorative tiles. A... (answered by stanbon)
1. In this problem, we will analyze the profit found for sales of decorative tiles. A... (answered by solver91311)
Just wanting to see if I am doing this right? In this problem, we analyze the profit... (answered by richwmiller)
In this problem, we will analyze the profit fournd for sales of decorative tiles. A... (answered by stanbon)