if I drive a car 60 miles per hour on a full tank, it'll run for 5 hours. for every mile per hour I speed up, the car will run 10 min less. for every mile per hour I slow down the car will run 10 min more.
a)in terms of x how far can I drive on one tank, b) whats the longest distance I can drive on one tank of gas, c) how fast must I drive in order to go the distance found in b)
so for a) I set up 2 equations 60+x = 300-10x x being miles per hour speed up. and 60-x =300+10x so I solved for x and got x= 240/11 and x=-240/11 from these 2 I get the y-intercept of the parabola. so now I'm trying to find the longest distance I can go in b) and that's the avg of both x values which is 0 so is the longest distance I can go 300 miles?
for c) since 300 miles is achieved by going at 60 mph with a full tank is c) 60?
how can you make a graph of x with this information?
I don't have the answer booklet so I can't really know that answer.
i thank you in advanced for your help