has a 20-gallon capacity, and Christina's car has a 16-gallon capacity. Miguel uses 1.5 gallons of gas per week, and Christina uses 1 gallon of gas per week. When will Miguel and Christina have the same amount of gas in their tanks? (1 point)
• After 8 weeks they will have the same amount of gas in their tanks.
• After —8 weeks they will have the same amount of gas in their tanks.
• After 1.6 weeks they will have the same amount of gas in their tanks.
• After week they will have the same amount of gas in their tanks.
To find out when Miguel and Christina will have the same amount of gas in their tanks, we can set up an equation.
Let's say after x weeks, Miguel will have used 1.5x gallons of gas and Christina will have used 1x gallons of gas.
Since Miguel's car has a 20-gallon capacity, the amount of gas remaining in his tank after x weeks is 20 - 1.5x gallons.
Similarly, since Christina's car has a 16-gallon capacity, the amount of gas remaining in her tank after x weeks is 16 - 1x gallons.
To find out when they will have the same amount of gas in their tanks, we can set up an equation and solve for x:
20 - 1.5x = 16 - x
Simplifying the equation, we get:
4 = 0.5x
Divide both sides by 0.5:
8 = x
Therefore, they will have the same amount of gas in their tanks after 8 weeks.
So the correct answer is:
• After 8 weeks they will have the same amount of gas in their tanks.