SOLUTION: The relationship described below can be modeled using an equation. Identify the variables and write an equation to solve the questions below. number of subscriptions sold/pay per

Algebra.Com
Question 209353: The relationship described below can be modeled using an equation.
Identify the variables and write an equation to solve the questions below.
number of subscriptions sold/pay per week
5/150
10/200
15/250
20/300
25/350

Sheryl has a part-time job working for a large company selling magazine subscriptions. Above is the pay scale she was given to calculate her weekly pay checks.
(a) Write and equation to calculate the pay per week given the number of subscriptions sold.
(b) What is her weekly pay if she sells 40 subscriptions?

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
The relationship described below can be modeled using an equation.
Identify the variables and write an equation to solve the questions below.
number of subscriptions sold/pay per week
5/150
10/200
15/250
20/300
25/350
Sheryl has a part-time job working for a large company selling magazine subscriptions. Above is the pay scale she was given to calculate her weekly pay checks.
(a) Write and equation to calculate the pay per week given the number of subscriptions sold.
---
Use the points (5,150) and (10,200)
slope = (200-150)/(10-5) = 50/5 = 10
------------------------
intercept: 150 = 10(5) + b
b = 100
---
Equation:
Pay = 10x + 100 where x is # of subscriptions Sheryl sells.
------------------------------
(b) What is her weekly pay if she sells 40 subscriptions?
p(40) = 10*40 + 100 = $500
==================================
Cheers,
Stan H.
Reply to stanbon@comcast.net

RELATED QUESTIONS

find an equation of the line described below. Write the equation in slope-intercept... (answered by Alan3354)
Use variables to write an equation that represents the relationship between the time x... (answered by algebrahouse.com)
Define the variables and write an equation to model the relationship in each table:... (answered by MathLover1)
define variables and write an equation to model the relationship in the... (answered by MathLover1)
for every gallon of gas a car can travel 30 miles what is an equation using 2 variables... (answered by Alan3354)
Joey makes $8.50 per hour. write an equation that can be used to graph the proportional... (answered by TimothyLamb)
Eugenie is now three times as old as Francoise. Eight years ago Eugenie was seven times... (answered by josgarithmetic,ikleyn)
Number of Worker Number of Radios Built 1 13... (answered by Nate)
Write an equation using two variables for the total cost of the fence. Use x and y to... (answered by stanbon)