Find the percent of change when 40 is increased to 83.If necessary, round your answer to the nearest tenth.

107.5%

Step-by-step explanation:

((83 - 40) / 40) * 100 = 107.5 %

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.