Question

Sam and Bobby want to know who cycled faster. The table shows the total miles Sam traveled over time. The graph shows the same relationship for Bobby. Who cycled faster.
Find the unit rate for Sam
Find the unit rate for Bobby
The unit rate is
Who cycled faster

Answer 1

Answer:

Sam cycled fast, at a rate of 10 miles per hour.

Step-by-step explanation:

To solve this problem we have to find the slope of each case. The definition of a slope is:

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Where $(x_{1};y_{1})$ is the first point, and $(x_{2};y_{2})$ is the second point.

Let's find each slope.

Sam.

Let's use the points $(2;20)$ and $(5;50)$

Applying the definition of the slope, we have:

$m_{sam} =\frac{50-20}{5-2}=\frac{30 \ miles}{3 \ hour}=10 \ miles/hour$

This relation means that Sam cycled 10 miles per hour.

Bobby.

Let's use the points $(2;18)$ and $(6;54)$

$m=\frac{54-18}{6-2}=\frac{36 \ miles}{4 \ hour}=9 \ miles/hour$

Bobby cycled 9 miles per hour.

Therefore, according to these ratios, Sam cycled fast, at a rate of 10 miles per hour.