Cool Down
At a fabric store, fabrics are sold by the yard. A dressmaker spent $36.35 on 4.25 yards of silk and cotton fabrics for a dress. Silk is $16.90 per yard, and cotton is $4 per yard.
Here is a system of equations that represents the constraints in the situation.
What does the solution to the system represent?
Compare your answer:
Your answer may vary, but here is a sample. The solution represents the combination of lengths of silk and cotton (in yards) that meet both constraints: they add up to 4.25 yards, and the cost of buying both is $36.35.
Find the solution to the system of equations.
Compare your answer:
1.5 yards of silk and 2.75 yards of cotton.
Explain or show how you know.
Compare your answer:
Your answer may vary, but here is a sample.
- The graphs of the equations intersect at
- Solving by using a table gives and .