Question

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

Time (hours) Distance (miles)
4 | 204
6 | 306
8 | 408
10 | 510

*this is the graph^*

Express the relationship between distance and time in simplified form as a unit rate. Determine which
statement correctly interprets this relationship.

*51/1: your car travels 51 miles every 1 hour.

*204; your car travels 204 miles.
your car travels 51 miles every 1 hour.

*1/51; your car travels 51 miles every 1 hour.

*10; your car travels for 10 hours.

Pleas help asap!
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Answer 1

Answer: First option.

Explanation:

You can find the rate by finding the slope.

The slope can be calculated with the following formula:

`m=(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=(204-510)/(4-10)\\\\m=(-306)/(-6)=(51)/(1)`

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