Question

. The table shows the number of miles driven over time.

Answer 1

Answer: First option.

Step-by-step explanation:

You can find the rate by finding the slope.

The slope can be calculated with the following formula:

$m=\frac{y_2-y_1}{x_2-x_1}$

Then, you must choose two points from the table, substitute them coordinates into the formula and then evaluate.

Choosing the points (4,204) and (10,510), you can identify that:

$y_2=204\\y_1=510\\\\x_2=4\\x_1=10$

Making the substitution into the formula, you get that the slope is:

$m=\frac{204-510}{4-10}\\\\m=\frac{-306}{-6}=\frac{51}{1}$

Therefore, based on the unit rate obtained, you can conclude that your car travels 51 miles every 1 hour.