Taking a road trip with your family, you get onto the intersate at mile marker 150 driving east (where mile marker numbers increase) at 50 miles per hour. Write and equation relating the total miles, m, from your state line (which is mile maker 0) to the number of hours, h, driven. What is the dependent variable? Write this equation in function notation.
m=150+50h
m is dependent variable
m=50h+150
looks good to me
To write an equation relating the total miles, m, from the state line to the number of hours driven, h, we can start by considering that you get onto the interstate at mile marker 150. From there, you drive east at a speed of 50 miles per hour.
We know that the number of miles driven, m, will be equal to 150 miles plus an additional 50 miles per hour driven, represented by 50h. This is because for every hour driven, you would cover an additional 50 miles.
Therefore, the equation relating the total miles, m, to the number of hours driven, h, is:
m = 150 + 50h
In this equation, the dependent variable is m because it depends on the value of h (the number of hours driven). The equation can also be written in function notation as:
m(h) = 150 + 50h