Question

graphs and functions interpreting the parameters of a linear function that models a real - world... laura is driving to milwaukee. let y represent her distance from milwaukee (in miles). let x represent the time she has been driving (in hours). suppose that x and y are related by the equation - 55x + 325 = y. answer the questions below. note that a change can be an increase or a decrease. for an increase, use a positive number. for a decrease, use a negative number. (a) what was laura’s distance from milwaukee when she began her drive? square miles (b) what is the change in laura’s distance from milwaukee for each hour she drives? square miles

Explanation:

Step1: Find initial distance (x=0)

When \( x = 0 \) (start time), substitute into \( y=-55x + 325 \).
\( y=-55(0)+325 = 325 \).

Step2: Find hourly change (slope)

The equation is in slope - intercept form \( y = mx + b \), where \( m \) is the slope (change per hour).
Here, \( m=-55 \), so the change per hour is \( - 55 \) (decrease of 55 miles per hour).

Answer:

(a) 325 miles
(b) -55 miles