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Anna and Sam each want to run for president of their school's student body council. In order
to do so, they must collect a certain number of signatures and get a nomination. So far, Anna
has 20 signatures, and Sam has 25. Anna is collecting signatures at an average rate of 6 per
day, whereas Sam is averaging 5 signatures every day. Assuming that their rate of collection
stays the same, eventually the two will have collected the same number of signatures. How
long will that take?
Time
elapsed
Write a system of equations, graph them, and type the solution.

Anna and Sam each want to run for president of their schools student body council In order to do so they must collect a certain number of signatures and get a class=

Respuesta :

arrowfighter333

Answer:

6x+20=5x+25

5 days

Step-by-step explanation:

Let x = the days that they have the same amount of signatures

We know Anna has 20 currently and gets 6 per day, so we can use y=mx+b to describe her linear relationship.

We also know that Sam has 25 and gets 5 per day, so we can again use y=mx+b to describe his linear relationship.

Since both equations equal the variable y, we can say they equal each other and set up 6x+20=5x+25.

Then you subtract 20 from both sides and subtract 5x, so you are left with x =5, or 5 days until they have the same amount of signatures

Hope this made sense :D

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