the table below shows the yearly sales of a cd player in a store
year 1 2 3 4 5 6
sales 55 100 145 190 235 280
find an equation in function notation for the relation
Notice how each year, the sales go up by 45 .
year 1 sales = 55
year 2 sales = 55 + 45
year 3 sales = 55 + 45 + 45
year 4 sales = 55 + 45 + 45 + 45
year 5 sales = 55 + 45 * 4
year " x " sales = 55 + 45 * (x - 1)
f(x) = 55 + 45(x - 1) where x is the year and f(x) is the sales. We can simplify the right side.
f(x) = 55 + 45x - 45
f(x) = 10 + 45x
Notice how each year, the sales go up by 45 .
year 1 sales = 55
year 2 sales = 55 + 45
year 3 sales = 55 + 45 + 45
year 4 sales = 55 + 45 + 45 + 45
year 5 sales = 55 + 45 * 4
year " x " sales = 55 + 45 * (x - 1)
f(x) = 55 + 45(x - 1) where x is the year and f(x) is the sales. We can simplify the right side.
f(x) = 55 + 45x - 45
f(x) = 10 + 45x