Question

1. a school fundraiser sold 61 candy bars and earned 108.58 dollars total. write an equation that can be used to express the relationship between the total amount earned(t) and each candy bar sold(b).

Explanation:

Step1: Identify the relationship

The total amount earned (\(t\)) is related to the number of candy bars sold (\(b\)) and the price per candy bar. Let the price per candy bar be \(p\). So, \(t = p\times b\).

Step2: Find the price per candy bar

We know that when \(b = 61\), \(t=108.58\). So, \(p=\frac{t}{b}=\frac{108.58}{61} = 1.78\) (dollars per candy bar).

Step3: Write the general equation

Substituting \(p = 1.78\) into \(t = p\times b\), we get \(t=1.78b\) (or we can also write it as \(t=\frac{108.58}{61}b\)).

Answer:

\(t = 1.78b\) (or \(t=\frac{108.58}{61}b\))