Question

The average consumption of milk, m in gallons, per person per year can be approximated by the equation m= -0.13t+8 where t is the number of years after 1997. Predict the consumption of milk in the year 2008. Hint: find the value of t that corresponds to the year 2008.

Answer 1

To predict the consumption of milk in the year 2008, substitute the corresponding value of t into the equation m = -0.13t + 8.

Step-by-step explanation:

To predict the consumption of milk in the year 2008, we need to find the value of t that corresponds to the year 2008. Since t represents the number of years after 1997, we can calculate t by subtracting 1997 from 2008:
t = 2008 - 1997 = 11

Now that we have the value of t, we can substitute it into the equation m = -0.13t + 8:
m = -0.13(11) + 8 = 6.57

Therefore, the predicted consumption of milk in the year 2008 is approximately 6.57 gallons.

Answer 2

Answer: 6.57 gallons

Step-by-step explanation:

Given

The average consumption of milk per person per year is

`\Rightarrow m=-0.13t+8`

In year 2008 i.e. t=2008-1997=11 years

Put the value in the equation

`\Rightarrow m=-0.13* 11+8\\\\\Rightarrow m=-1.43+8=6.57\ \text{Gallons}`

So, it is 6.57 gallons in year 2008