Question

dining calvino’s home is located at the midpoint between fast pizza and pizza now. fast pizza is a quarter mile away from calvino’s home. how far away is pizza now from calvino’s home? how far apart are the two pizzerias?
pizza now is a
select choice
from calvino’s home; the two pizzerias are
select choice
apart.
need help?

Explanation:

Step1: Analyze the midpoint concept

Calvino's home is the midpoint between Fast Pizza and Pizza Now. Let the distance from Calvino's home to Fast Pizza be \( d_1 \) and to Pizza Now be \( d_2 \). Since it's a midpoint, \( d_1 = d_2 \). Given \( d_1=\frac{1}{4} \) mile, so \( d_2=\frac{1}{4} \) mile.

Step2: Calculate distance between pizzerias

The distance between Fast Pizza and Pizza Now is \( d_1 + d_2 \). Substituting \( d_1 = d_2=\frac{1}{4} \) mile, we get \( \frac{1}{4}+\frac{1}{4}=\frac{2}{4}=\frac{1}{2} \) mile.

Answer:

Pizza Now is \(\frac{1}{4}\) mile from Calvino's home; the two pizzerias are \(\frac{1}{2}\) mile apart.