A car travels according to the table of values shown. What equation can be used topredict the distance (d) the car travels in a number of hours (h)?Hours1234Distance(miles)4590135180

A car travels according to the table of values shown What equation can be used topredict the distance d the car travels in a number of hours hHours1234Distancem class=

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SOLUTION

From the table, we can see that in 1 hour, the car covered 45 miles and in 2 hours, 90 miles, and in 3 hours 135 miles.

This means that the distance was increased by 45 miles for every additional 1 hour, that is

[tex]\begin{gathered} d=1hr\times45 \\ d=2hr\times(45+45) \\ d=3hr\times(45+45+45),\text{ that means } \\ d=45\times number\text{ of hours, since number of hours is h} \\ d=45\times h \\ d=45h \end{gathered}[/tex]

Hence the first option d = 45h is the answer

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