# For 1980 through 1990, the average weekly earnings (in dollars)for workers in the United States can be modeled by E= 14.5t + 270, where t is the number of years since 1980. Approximate the average weekly earnings in 1980 and 1990.

I am having trouble understanding what I have to do for this problem. Please help me as soon as possible! Thanks.

Year t Earnings(15.5t+270)

1980 0 270

1981 1 285.5

1982 2 ....

1990 10

So fill in the table, or just use the formula. The key is to compute t. t=Year-1980

## Average weekly earnings in 1980: 270

Average weekly earnings in 1990: 415.5

## To approximate the average weekly earnings in 1980 and 1990 using the given model E=14.5t + 270, you need to substitute the values of t for each year and calculate the earnings.

For 1980, t=0 (since it is the year 1980 minus 1980), so you can plug in t=0 into the equation:

E = 14.5(0) + 270 = 0 + 270 = 270

Therefore, the average weekly earnings in 1980 would be $270.

For 1990, t=10 (since it is the year 1990 minus 1980), so you can substitute t=10 into the equation:

E = 14.5(10) + 270 = 145 + 270 = 415

Therefore, the average weekly earnings in 1990 would be $415.

Thus, the estimated average weekly earnings in 1980 is $270 and in 1990 is $415.

## To approximate the average weekly earnings in 1980 and 1990 using the given model E=14.5t+270, you need to substitute the appropriate values for t into the equation and solve for E.

First, let's calculate t for 1980 and 1990.

For 1980, we have t = 1980 - 1980 = 0.

Substituting this value into the equation, we get:

E = 14.5(0) + 270

E = 0 + 270

E = 270

So the average weekly earnings in 1980 is $270.

For 1990, we have t = 1990 - 1980 = 10.

Substituting this value into the equation, we get:

E = 14.5(10) + 270

E = 145 + 270

E = 415

So the average weekly earnings in 1990 is $415.

Therefore, the approximate average weekly earnings in 1980 is $270 and in 1990 is $415.