Question

example 2

1. home improvement callie wants to build a fence halfway between her house and her neighbors house. how far away from callies house should the fence be built?
2. dining calvinos home is located at the midpoint between fast pizza and pizza now. fast pizza is a quarter mile away from calvinos home. how far away is pizza now from calvinos home? how far apart are the two pizzerias?

Explanation:

Step1: Find mid - point distance for Callie's fence

The distance between Callie's house and neighbor's house is 28 yards. To find the distance from Callie's house to the fence (which is at the mid - point), we divide the total distance by 2.
$d_1=\frac{28}{2}$

Step2: Calculate the value for Callie's fence

$d_1 = 14$ yards

Step3: Analyze distances for pizzerias

Since Calvino's home is at the mid - point between Fast Pizza and Pizza Now, and Fast Pizza is a quarter mile away from Calvino's home, then Pizza Now is also a quarter mile away from Calvino's home.
The distance between the two pizzerias is the sum of the distances from each pizzeria to Calvino's home.
$d_2=\frac{1}{4}+\frac{1}{4}$

Step4: Calculate the distance between pizzerias

$d_2=\frac{1 + 1}{4}=\frac{2}{4}=\frac{1}{2}$ mile

Answer:

1. 14 yards
2. Pizza Now is $\frac{1}{4}$ mile away from Calvino's home. The two pizzerias are $\frac{1}{2}$ mile apart.