Final answer:
Tom can buy a maximum of 7 gallons of gasoline.
Step-by-step explanation:
To solve for the number of gallons of gasoline Tom can buy, we need to subtract the cost of the carwash from the total amount he can spend. Tom can spend a maximum of $40, and the carwash costs $6.00. So, Tom has $40 - $6.00 = $34.00 left to spend on gasoline. Since gasoline costs $4.50 per gallon, we divide the remaining amount Tom can spend by the cost per gallon: $34.00 ÷ $4.50 = 7.56. However, since Tom cannot buy a fraction of a gallon, we round down to the nearest whole number. Therefore, Tom can buy a maximum of 7 gallons of gasoline.