11 TMobile 70 507 PMM imathasrationalreasoningnet Lucia ren

.11 T-Mobile * 70%- 5:07 PMM imathas.rationalreasoning.net Lucia rented a car for $279 per week (with unlimited driving miles) to use during her spring break vacation. She must also pay for gasoline which costs $4.00 per gallon. The car gets 30 miles per gallon (mpg). Let m represent the number of miles Lucia has traveled and let g represent the number of gallons of gasoline Lucia has used. a. If Lucia traveled 116 miles, how many gallons of asoline did she use? Preview b. If Lucia traveled 116 miles, how much does she spend on gasoline Preview c. If Lucia traveled 79 miles, how many gallons of asoline did she use? Preview d. If Lucia traveled 79 miles, how much does she spend on gasoline? Preview e. Match the following expressions with the appropriate description from the list. You may use an answer more than once or not at all 4g 279

Solution

the relationship between miles and gallons is

g = m/30

a) for 116 miles

gallons used = 116/ 30

b) gaasoline cost is $ 4 / gallon

so money spend on 116/30 gallons = 116/30 * 4 = $ 15.47

c) for 79 miles

gallons used = 79/30 gallons  

d) money spend on gasoline is

79/30 * 4 = $10.53

e) m/30 is number of gallons lucia has used

4g + 279 is cost of rental car and gas

4( m/30) is cost of gasoline that lucia has used

4g is cost of gasoline that lucia has used

f) formula is g = m /30

g) c = 4 ( m / 30 )

h) T = 4 (m/30 ) + 279