Thursday, March 17, 2016

Math problem of the week: Common Core-inspired word problem

From New York State Testing Program, Common Core Sample Problems, Grade 8:

[90 words]

Suppose that the amount of water consumed by a football team on a given day is a linear function of temperature, and that in 90o weather 220 the team consumes gallons and that in 76o weather it consumes 178 gallons.
A. Express this relationship as a function.
B. State what the slope represents.
[51 words]

Here is the rationale for the original problem

Follow-up problem: Can the above rationale be satisfied with a problem that contains 40% less verbiage than the original?

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