Sales at a computer retail store were $1,000,000 in 1982 and $1,790,000 in 1987

let x=0 represent 1982

find the equation giving year sales. estimate sales in 1990.

Could you guys help me with this.

Sure! To find the equation giving year sales, we need to determine the relationship between the years and the corresponding sales.

Given that the year 1982 is represented by x = 0, we can let the year be represented by variable t. We can assume a linear relationship between the year and the sales.

Using the two data points provided:
(1982, $1,000,000) corresponds to (x, y) = (0, $1,000,000)
(1987, $1,790,000) corresponds to (x, y) = (5, $1,790,000)

We can now find the equation of the line passing through these two points.

First, let's find the slope (m) of the line:

m = (change in y) / (change in x)
= ($1,790,000 - $1,000,000) / (5 - 0)
= $790,000 / 5
= $158,000

Now, we have the slope (m) and one point (0, $1,000,000). We can use the point-slope form of a linear equation to find the equation of the line:

y - y1 = m(x - x1)

Plugging in the values:
y - $1,000,000 = $158,000(x - 0)

Simplifying:
y - $1,000,000 = $158,000x

Now, we can estimate the sales in 1990 (which corresponds to x = 8).
Plugging in x = 8 into the equation:
y - $1,000,000 = $158,000(8)
y - $1,000,000 = $1,264,000
y ≈ $1,000,000 + $1,264,000
y ≈ $2,264,000

Therefore, based on the equation, we can estimate the sales in 1990 to be approximately $2,264,000.