The expression -0.3y + 62 models the percent...?

Question

the expression 2.6y + 107 models the number of eligible voters in millions in the United States from 1960 yo 2000. In the expression, y represents the number of years since 1960.

the expression -0.3y + 62 models the percent of eligible voters who voted in presidential elections from 1960 to 2000. write an expression that models the number of voters in presidential elections from 1960 to 2000.

please show work

Answer 1

Great question.

Trick is to work backward.

The number of voters is what you want.

The number of voters equals the percent of people who voted times the number who COULD vote.

So multiply (2.6y + 107) times (-0.3y + 62)

FOIL means First Outer Inner Last and is the order you multiply pairs of things:

First -0.78y^2

Outer 161.2y

Inner -32.1y

Last 6634

-0.78y^2 + 129.1y + 6634