Answer :
A is correct because if you subsitute 5 for d or days, you get 140 for both equations
B is obviously wrong because a positive number of days +20 is not more than 5 for charlie's car rentals
C is wrong because we saw that in 5 days, the car companies earn equal ammounts
D is wrong because we saw that in 5 days, the car companies earn equal ammounts
B is obviously wrong because a positive number of days +20 is not more than 5 for charlie's car rentals
C is wrong because we saw that in 5 days, the car companies earn equal ammounts
D is wrong because we saw that in 5 days, the car companies earn equal ammounts
The answer is A.
If you imagine these two equation to model the price of renting from either company:
c = 20 + 24d (Charlie's)
c = 28d (Jerry's)
c represents the cost as a function of d, which represents the days.
At d = 5, both equations are 140
We can see this if we plug in 5 for d in both equations.
20 + 24(5) = 140 and 28(5) = 140
This means the data point (5, 140) which represents 5 days with a cost of $140 satisfies both equations and is the solution to the system of equations.
Therefore, the answer is A.
If you imagine these two equation to model the price of renting from either company:
c = 20 + 24d (Charlie's)
c = 28d (Jerry's)
c represents the cost as a function of d, which represents the days.
At d = 5, both equations are 140
We can see this if we plug in 5 for d in both equations.
20 + 24(5) = 140 and 28(5) = 140
This means the data point (5, 140) which represents 5 days with a cost of $140 satisfies both equations and is the solution to the system of equations.
Therefore, the answer is A.