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:

To determine the correct bar diagram, we first find the daily distance \( d \) Tomas bikes. He bikes \( \frac{3}{4} \) miles in the morning and \( \frac{2}{4} \) miles in the afternoon, so \( d=\frac{3}{4}+\frac{2}{4} \). Over 6 days, the total distance \( t \) is \( 6\times d \), which means the bar for \( t \) should represent 6 segments of \( d \). The first diagram (top - left) shows \( d=\frac{3}{4}+\frac{2}{4} \) and \( t \) as 6 segments of \( d \), matching the calculation. Other diagrams either mis - represent \( d \) or the number of segments for \( t \).

Answer:

The bar diagram with \( d=\frac{3}{4}+\frac{2}{4} \) (top - left diagram, with \( d \) composed of \( \frac{3}{4} \) and \( \frac{2}{4} \), and \( t \) composed of 6 segments of \( d \))