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

Step-by-step explanation:

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

Where is the first point, and is the second point.

Let's find each slope.

Let's use the points and

Applying the definition of the slope, we have:

This relation means that Sam cycled 10 miles per hour.

Let's use the points and

Bobby cycled 9 miles per hour.

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

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.