Reggie is driving cross country and needs to keep track of h

Reggie is driving cross country and needs to keep track of how much money he can spend on gas, the number of gallons of gasoline he can buy, and how far he can travel with that amount of gasoline. Suppose the price of gas is $3, 40 per gallon. Complete the following table that shows how many gallons of gas Reggie can buy at this price for varying amounts of money he can spend on gas. (It will help you in later parts of the problem if you enter exact values.) Reggie\'s car gets 26 miles per gallon on the highway. Complete the following table that shows how far Reggie can drive on the highway for the varying number of gallons of gas in Reggie\'s car. (It will help you in later parts of the problem if you enter exact values.) Use the tables above (don\'t do any calculations) to determine how many miles Reggie can drive on the highway if he spends... Determine how many miles Reggie can drive on the highway if he spends ... Define a function h that gives the number of miles Reggie can drive on the highway in terms of the number of dollars he spends on gasoline, s.

Solution

Cost of gas , C = $ 3.40 per gallon

C(x) = 3.40x where x is no. of gallons

a) C = 40.80 ; x= 40.80/3.40 = 12 gallons

x = 6 ; C(6) = 3.40*6 = $20.4

C = 34 ; x= 34/3.4 = 10 gallons

x= 7.5 ; C(7.5) = 3.4*7.5 = $ 25.5

b) Car gives 26 miles per gallon

208 miles ; 208/26 = gallons

12 gallons ; 26*12 = 312 miles

299 miles ; 299/26 = 11.5 gallons

260 miles ; 260/26 = 10 gallons

c) $ 40.8 ---- 12 gallons -----312 miles

$34 -------10 gallons------ 260 miles