Question

The percentage, P, of U.S. voters who use punch cards or lever machines in national elections can be modeled by the formula: P = −2.5x + 63.1 where x is the number of years after 1994. In which years will fewer than 38.1% of U.S. voters use punch cards or lever machines?

Answer 1

Answer:

From 2004 onwards, fewer than 38.1% of U.S. voters use punch cards or lever machines

Step-by-step explanation:

The percentage of U.S. voters who use punch cards or lever machines in national elections, in x years after 1994, is given by the following equation:

$P(x) = -2.5x + 63.1$

In which years will fewer than 38.1% of U.S. voters use punch cards or lever machines?

In x years after 1994 onwards.

x is found when P(x) = 38.1.

So

$P(x) = -2.5x + 63.1$

$38.1 = -2.5x + 63.1$

$2.5x = 25$

$x = \frac{25}{2.5}$

$x = 10$

From 2004 onwards, fewer than 38.1% of U.S. voters use punch cards or lever machines