Problem preview

A-REI.11 Warmup M1-007-A10-V04

Solve equations of the form f(x)=g(x) approximately by finding graph/table intersections.

Solve a break-even problem by setting models equal

Problem

Solve the break-even problem: Studio Plan A costs \(9~\text{dollars}\) plus \(6~\text{dollars}~\text{per}~\text{class}\). Studio Plan B costs \(23~\text{dollars}\) plus \(4~\text{dollars}~\text{per}~\text{class}\). After how many classes do the plans cost the same, and what is that cost?

Answer choices

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v = 7 classes

v = 5 classes; both cost 39 dollars

v = 7 classes; both cost 51 dollars

v = 14 classes; both cost 93 dollars

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Curriculum context

Course: Math I
Standard: A-REI.11
Category: Algebra
Domain: Reasoning with Equations and Inequalities
Objective: Solve equations of the form f(x)=g(x) approximately by finding graph/table intersections.
Problem type: Solve a break-even problem by setting models equal