Mr. Dillion gathered data on numbers of miles her traveled (d) in the number of hours he drove (d). He plotted this data on graph and determined the relationship to be d = 40.5h + 8. Based on this information, how far will Mr. Dillion travel in 6 hours?

132 miles
275 miles
251 miles
242 miles

Respuesta :

Answer: Third option.

Step-by-step explanation:

According to the data information given in the exercise, you know that "d" represents number of miles Mr. Dillion traveled  and "h" represents the number of hours Mr. Dillion drove.

Given the following equation:

[tex]d = 40.5h + 8[/tex]

You must substitute [tex]t=6[/tex] into the equation and then you must evaluate, in order to calculate the number of miles Mr. Dillion will travel in 6 hours.

Then, you get this result:

[tex]d = 40.5(6)+ 8\\\\d=243+8\\\\d=251[/tex]

Answer:

251 miles

Step-by-step explanation:

The number of miles travelled is d, and the number of hours drove is h. Using the expression:

[tex]d=40.5\cdot{h}+8[/tex]

We can plug in 6 hours as h:

[tex]d=40.5\cdot{h}+8=40.5\cdot{6}+8=243+8=251[/tex]

Mr Dillon travels 251 miles in 6 hours