Question

1. for a walk-a-thon a sponsor committed to give you a flat fee of 40 plus 0.2 for every mile in you walk.

a. write an expression for the total amount you will collect from your sponsor at the end of the walk-a-thon.
b. then evaluate your expression for 20 miles walked.

1. you and four friends plan a surprise party. each of you contributes the same amount of money.

a. write an algebraic expression for the total amount of money contributed for food.
b. evaluate your expression if each person contributed $5.25.

1. a cell phone company charges $40 per month plus a $35 activation fee.

a. write an expression for the total cost for m months.
b. then evaluate your expression for 10 months of service.

Explanation:

Problem 24

Part a

Step1: Define variables

Let \( x \) be the number of miles walked. The flat fee is 60, and for each mile, we get 0.2 (assuming "02" is a typo for 0.2). So the total amount \( A \) is flat fee plus per - mile charge times miles.
\( A = 60+0.2x \)

Step2: (No further step for part a as we just need the expression)

Step1: Substitute \( x = 20 \) into the expression

We have the expression \( A=60 + 0.2x \). Substitute \( x = 20 \):
\( A=60+0.2\times20 \)

Step2: Calculate the multiplication first

\( 0.2\times20 = 4 \)

Step3: Calculate the addition

\( A=60 + 4=64 \)

Step1: Determine the number of people

You and four friends, so the total number of people \( n=1 + 4=5 \). Each person contributes \( m \) dollars. So the total contribution \( T \) is number of people times contribution per person.
\( T = 5m \)

Step2: (No further step for part a as we just need the expression)

Answer:

\( 60 + 0.2x \) (where \( x \) is the number of miles walked)

Part b