Question

Taylor was using her phone to record a concert. She started the concert at 100% and lost 3% every 2 minutes. (a)Create an equation, table and graph to represent this situation.(b)How long will it take Taylor's phone to reach 10% battery life.

Answer 1

(a)y=100-3x

(d)60 minutes

Step-by-step explanation:

Part A (Equation)

She started the concert at 100%.

Taylor lost 3% battery life every 2 minutes.

• Let y represent her battery life.

,

• Let x represent the number of 2 minutes that passed.

The equation representing this situation is:

`y=100-3x`

Part B(Table)

When x=0, y=100-3(0)=100 (0,100)

When x=5, y=100-3(5)=85 (5,85)

When x=20, y=100-3(20)=40 (20,40)

When x=30, y=100-3(30)=10 (30,10)

The table is presented below:

Part C

Next, the graph of y=100-3x is plotted below.

We have used the x and y-intercepts to plot the line below:

Part D

When Taylors battery life = 10%

y=10%

We see from the table that:

When x=30, y=10%

Therefore, after 30 x 2 = 60 minutes, Taylor's phone will reach 10% battery life.

•