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Mandy and her friend Lucy are knitting scarves for the homeless. Mandy had already completed 10 scarves and has committed to making 1 more scarf per day Lucy, who hasn't completed any scarves yet has more free time and can make 2 scarves per day. At some point, Lucy will catch up and they will both have completed the same number of scarves. How long will that take? Write a system of equations, graph them and type the solution.

Mandy and her friend Lucy are knitting scarves for the homeless Mandy had already completed 10 scarves and has committed to making 1 more scarf per day Lucy who class=

Respuesta :

We will find the time it will take Lucy to catch up to Mandy, by solving the following system:

[tex]\begin{cases}y=d+10 \\ y=2d\end{cases}[/tex]

Here, the first expression represents Mandy's and the second expression represents Lucy's.

Now, we solve:

[tex]2d=d+10\Rightarrow d=10[/tex]

From this, we have that it will take 10 days to have the same number of scarves, which will be 20 scarves.

We can graph them as follows:

Ver imagen HendrexU530096

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