Answer:
y = 46
Step-by-step explanation:
Given y varies inversely as x then the equation relating them is
y = ← k is the constant of variation
To find k use the condition y = 23 when x = 8 , then
23 = ( multiply both sides by 8 )
184 = k
y = ← equation of variation
When x = 4 , then
y = = 46
Answer:
Total <u>480 liters</u> of ice cream is in the cartons.
Step-by-step explanation:
Given:
An ice cream shop is testing some new flavors of ice cream. They invent 25 new flavors for customers to try, and throw out the 13 least popular flavors. The shop makes 80 cartons of each of the remaining flavors. It takes 2 cartons to get one liter of ice cream.
Now, to find the total ice cream in the cartons.
The ice cream shop invent new flavors = 25.
And ice cream shop throw out least popular flavors = 13.
So, to get the remaining ice cream we subtract quantity of flavors ice cream shop throw out from the quantity of flavors ice cream shop invent:
Thus, the remaining flavors = 12.
<em>According to question, the shop makes 80 cartons of each of the remaining flavors. And it takes 2 cartons to get one liter of ice cream.</em>
So, we get the unit rate of liter per carton:
If, 2 cartons contain 1 liter.
Then, 1 carton contain =
<u><em>Total quantity of ice cream per carton = 0.5 liter</em></u>
<u><em>Total number of cartons = 80.</em></u>
<u><em>Total flavors of ice cream = 12.</em></u>
Now, to get the total ice cream in the cartons we multiply total quantity of ice cream per carton by total number of cartons by total flavors of ice cream:
Therefore, total 480 liters of ice cream is in the cartons.