Solving Systems of Linear Equations: Substitution — Unit test
Question 1 • FL-1200700-Mathematics for College Algebra MIS
A rectangular bird feeder costs $18.00. A cylindrical bird feeder costs $24.00. The expected cost to keep the rectangular bird feeder filled is $3.00 per week. The expected cost the keep the cylindrical bird feeder filled is $2.00 per week. The equation below models the break-even point.18 + 3x = 24 + 2x What does x represent?
Answer
A
the total cost to fill the rectangular bird feeder after any number of weeks
B
the total cost to fill the cylindrical bird feeder after any number of weeks
C
the number of weeks the bird feeders are filled
D
the number of bird feeders purchased each week
Explanation
In the equation, 18 and 24 are the feeders’ one-time purchase costs. The terms 3x and 2x represent the weekly filling costs multiplied by x, so x must be the number of weeks the bird feeders are filled. Therefore, choice C is correct.
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