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20. invitations moesha and keyon are mailing invitations for their wedd…

Question

  1. invitations moesha and keyon are mailing invitations for their wedding. they have $50 to spend and each invitation costs $1.25 to mail. the function m = 50 - 1.25w represents the amount of money m moesha and keyon have left after mailing w wedding invitations. find the zero of the function. describe what this value means in the context of this situation.

Explanation:

Step1: Set the function equal to 0.

We want to find the zero of the function $m = 50-1.25w$, so we set $m = 0$. The equation becomes $0=50 - 1.25w$.

Step2: Solve for $w$.

First, add $1.25w$ to both sides of the equation: $1.25w=50$. Then divide both sides by $1.25$: $w=\frac{50}{1.25}=40$.

Step3: Interpret the result.

In the context of the situation, $w$ represents the number of wedding - invitations mailed. When $w = 40$, the amount of money left $m = 0$. This means that when Moesha and Keyon mail 40 wedding invitations, they will have spent all of their $50$ dollars.

Answer:

The zero of the function is $w = 40$. This means that Moesha and Keyon can mail 40 wedding invitations before they run out of money.