Unit 3, Lesson 14
Finding Solutions to Inequalities in Context
Accelerated 7
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The school band director determined from past experience that if they charge \(t\) dollars for a ticket to the concert, they can expect attendance of \(1000-50t\). The director used this model to figure out that the ticket price needs to be \$8 or greater in order for at least 600 to attend. Do you agree with this claim? Explain your reasoning.
Represent the solution for each inequality on the number line.
\(x\leq5\)
\(x<\frac52\)
Write three different equations that represent the tape diagram.
A baker wants to reduce the amount of sugar in his cake recipes. He decides to reduce the amount used in 1 cake by \(\frac12\) cup. He then uses \(4\frac12\) cups of sugar to bake 6 cakes.