The initial amount of sugar in fermenting a batch of beer is 5.5grams. Over time the sugar decreases at a rate of 0.1grams per day.
a. what is the amount of sugar that remains after 7 days? 23days?
b. If A represents the amount of sugar, write an equation for the amount of sugar that remains after x days?
Thanks in advance!
I know in real life it is not linear, but maybe I know too much.
As a linear function:
SugarRemaining=5.5-0.1 D
so put in 7, then 23
for your equation,
A= 5.5 - .1 x
a. To find the amount of sugar that remains after a certain number of days, we can subtract the amount of sugar that decreases each day from the initial amount.
After 7 days:
Amount of sugar remaining = Initial amount - (Rate of decrease x Number of days)
Amount of sugar remaining = 5.5 grams - (0.1 grams/day x 7 days)
Amount of sugar remaining = 5.5 grams - 0.7 grams
Amount of sugar remaining = 4.8 grams
After 23 days:
Amount of sugar remaining = Initial amount - (Rate of decrease x Number of days)
Amount of sugar remaining = 5.5 grams - (0.1 grams/day x 23 days)
Amount of sugar remaining = 5.5 grams - 2.3 grams
Amount of sugar remaining = 3.2 grams
b. The equation for the amount of sugar that remains after x days can be written as:
A = 5.5 - (0.1x)
To solve these problems, we need to subtract the amount of sugar that decreases each day from the initial amount of sugar.
a. After 7 days, the amount of sugar remaining can be calculated by subtracting 0.1 grams per day for 7 days from the initial amount of sugar, which is 5.5 grams.
So, the amount of sugar remaining after 7 days is 5.5 grams - (0.1 grams/day * 7 days) = 5.5 grams - 0.7 grams = 4.8 grams.
Similarly, after 23 days, the amount of sugar remaining can be calculated by subtracting 0.1 grams per day for 23 days from the initial amount of sugar.
So, the amount of sugar remaining after 23 days is 5.5 grams - (0.1 grams/day * 23 days) = 5.5 grams - 2.3 grams = 3.2 grams.
b. If we let A represent the amount of sugar remaining after x days, we can express it as follows:
A = 5.5 grams - (0.1 grams/day * x days)
This equation can be used to calculate the amount of sugar remaining after any given number of days (x). Just substitute the value of x into the equation to get the corresponding amount of sugar remaining.