Answer:
The equation is y = kt where y is the number of ounces and t is the time. According to the formula time it takes to fill 40ounce cup is 8seconds.
Step-by-step explanation:
If a soda machine takes 3 seconds to fill a 15-ounce cup where t is in seconds, it will take t seconds to fill 40ounce cup.
Let the amount of ounce filled by the machine be directly proportional to the time taken to fill the cup. Taking y as the amount of ounce and t as the time taken.
Mathematically, y = kt where k is the constant of proportionality. To get k, since a soda machine takes 3 seconds to fill a 15-ounce cup, from the information,
y = 15 and t = 3
since k = y/t
k = 15/3 = 5
To get the time taken to fill 40ounce cup, we will use the relationship y = kt where k =5 and y = 40. Substituting this values in the formula to get t, we have;
40= 5t
t = 40/5
t = 8seconds
The required equation is y = kt where y is the amount of ounces and t is the time.
