For a walk-a-thon a sponsor committed to give you a flat fee of $5 plus $2 for every mile you walk. If you walk for 20 miles, what is the total amount you will collect from your sponsor at the end of the walk-a-thon?

Respuesta :

To solve this problem you must apply the proccedure shown below:

1. Based on the information given in the problem above, you can write the following expression, where [tex] x [/tex] is the total amount you will collect from your sponsor at the end of the walk-a-thon:

[tex] x=5+2(20)\\ x=5+40\\ x=45dollars [/tex]

2. Therefore, as you can see, the answer is: if you walk for 20 miles, the total amount you will collect from your sponsor at the end of the walk-a-thon is [tex] 45dollars [/tex]

Amount the sponsor committed to give flat for participation in the walk-a-thon is $5.

This means that this amount is a constant.

Now for every mile amount that can be won is $2.

Now for x miles the amount that can be won is two times x = 2x dollars.

So let us make an equation for this question.

Total amount A is given by:

[tex] A = 5+2x [/tex]

x is number of miles.

In our question we have to find amount won in case of 20 miles.

So plugging x as 20 in the equation,

[tex] A = 5+2(20) [/tex]

Amount = 45 dollars.

Answer: The total amount that I will collect at the end of walk-a-thonfrom the sponsor is $45.