Respuesta :

Answer:

[tex]\Large\boxed{\text{The amount of money changes by \$50 per week.}}[/tex]

[tex]\Large\boxed{s(t) = 70+50t}[/tex]

Step-by-step explanation:

We can create a function based on this scenario.

We know that you start with $70. This would be a constant. So, we already know that our function will contain +70.

If we earn $50 a week, we know that we can create an expression here to find how much we make based on how many weeks we spend, assuming t represents the amount of weeks we spent.

[tex]50t[/tex]

We can add this to our original constant of 70.

[tex]70+50t[/tex]

Since the output will be a function based on how many weeks we spend, we can make it equal to s(t).

[tex]s(t) = 70+50t[/tex]

The slope here is 50, meaning that every week we earn 50 dollars more.

This means the amount of money changes by 50$ per week.

Hope this helped!

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