Question

The population of a town can be represented by the formula P(t) = 67.35 -

3t/8, where P(t) represents the population, in thousands, and t is the time in
years since 1980. Identify the slope and the y-intercept.

Answer 1

B. -⅜ and 67.35

Explanation:

An equation can be given in the slope-intercept form such as y = mx + b, where,

m is the slope and b is a constant which is the y-intercept.

In the case of the formula, P(t) = 67.35 - 3t/8,

The constant, 67.35, in the equation, is the y-intercept (b)

The number multiplying the variable, t, which is -⅜, is the slope (m) of the equation.

Slope = -⅜, y-intercept = 67.35