Question

students in mrs. camerons third grade class are working on times tables, and they demonstrate mastery by passing tests. sally has passed 3 tests so far. her classmate, josiah, has passed 5 of them. from now on, sally plans to take and pass 2 tests per week. meanwhile, josiah plans to do 1 per week. at some point, sally will catch up to josiah. how long will it take? write a system of equations, graph them, and type the solution. weeks

Explanation:

Step1: Set up equations

Let \(x\) be the number of weeks and \(y\) be the total number of tests passed.
For Sally: She starts with 3 tests and passes 2 per week. So the equation is \(y = 2x+3\).
For Josiah: He starts with 5 tests and passes 1 per week. So the equation is \(y=x + 5\).

Step2: Solve the system of equations

Set the two equations equal to each other:

$$
LATEXBLOCK0
$$

Answer:

2 weeks