L82 - A1 - 3.5 - RW Function Notation & Comparing Functions

Complete the table for the given function:

$$f\left(x\right)=-\frac{1}{2}x-1$$

1. A submarine starts at a depth of 50 meters below sea level and descends at a constant rate. The total depth, , in meters, is a linear function of the number of minutes, , that the submarine has been descending. The function is given by:

$$D(t)=50+10t$$

If the submarine has been descending for 8 minutes, what is its depth?

2. An airplane starts at an altitude of 1,000 meters and climbs at a constant rate. The total altitude, , in meters, is a linear function of the number of minutes, , that the airplane has been climbing. The function is given by:

$$A(t)=1000+150t$$

If the airplane has been climbing for 6 minutes, what is its altitude?

3. Jasmine is saving money to buy a concert ticket. She already has $5 and plans to save $4 each day.

The function  $$J(x)=4x+5$$  represents the total amount of money Jasmine has after  days.

How many days will it take Jasmine to save $29?

4. Marcus wants to buy a new video game. He already has $12 and plans to save $3 each day.

The function  $$M(x)=3x+12$$ represents the total amount of money Marcus has after  days.

How many days will it take Marcus to save $30?