Question

tomas bikes \\(\frac{3}{4}\\) miles each morning and \\(\frac{2}{4}\\) miles each afternoon.

part a
which bar diagrams can you use to find the distance \\(t\\) tomas bikes in 6 days?

Explanation:

Step1: Analyze daily distance

First, find the distance Tomas bikes in one day. He bikes $\frac{3}{4}$ miles in the morning and $\frac{2}{4}$ miles in the afternoon, so daily distance $d=\frac{3}{4}+\frac{2}{4}$.

Step2: Analyze total distance for 6 days

To find the total distance $t$ in 6 days, we need to multiply the daily distance $d$ by 6, so $t = 6\times d$. The bar diagram should first show $d$ as the sum of $\frac{3}{4}$ and $\frac{2}{4}$, then show $t$ as 6 times $d$. Looking at the options, the first diagram (with $d$ as $\frac{3}{4}+\frac{2}{4}$ and $t$ as 6 $d$s) matches this logic.

Answer:

The bar diagram with \( d \) composed of \( \frac{3}{4} \) and \( \frac{2}{4} \), and \( t \) composed of 6 segments of \( d \) (the first option in the top - left).