Question

terry is skiing down a steep hill. terrys elevation, (e(t)), in feet after (t) seconds is given by (e(t) = 4500 - 90t).

the equation tells us that terry started at an elevation of 4500 feet and his elevation is decreasing by 90 feet per second.

Explanation:

⚡ Using what you learned: slope-intercept and standard form

Step 1: Identify the starting value

The linear function is given by:

$$ E(t) = 4500 - 90t $$

When \( t = 0 \) (at the start):

$$ E(0) = 4500 $$

This represents the initial elevation.

• First dropdown: at an elevation of
• First input box: 4500
• Second dropdown: feet

Step 2: Identify the rate of change

The coefficient of \( t \) is \( -90 \). This represents the rate of change of elevation over time.

• The negative sign means the elevation is decreasing.
• The value \( 90 \) represents the rate of decrease in feet per second.

• Third dropdown: elevation
• Fourth dropdown: is decreasing
• Second input box: 90
• Fifth dropdown: feet per second

Answer:

The equation tells us that Terry started at an elevation of 4500 feet and his elevation is decreasing by 90 feet per second.