Answer :
The linear equation that represents the number of square feet Emily can paint in any given time interval is A = 6.4t, which describes her painting rate of 6.4 square feet per minute.
Emily paints at a constant rate and can paint 32 square feet in 5 minutes. To determine the area A that she can paint in t minutes, we need to set up a linear equation. Since we know her rate of painting is 32 square feet per 5 minutes, we can find her rate per minute by dividing 32 by 5, giving us 6.4 square feet per minute.
The linear equation with two variables to represent the relationship between the time t and the area A is A = 6.4t. This equation tells us that for every additional minute of painting, Emily will cover an additional 6.4 square feet.
Answer: A(t) = (6.4 ft^2/min)*t
Step-by-step explanation:
We know that Emily paints at a constant rate, and she can paint 32 ft^2 in 5 minutes.
Then if we take the quotient of these two quantities, we will find the amount she can paint in one minute, this is:
32ft^2/5min = (32/5) ft^2/min = 6.4 ft^2/min.
Then if she paints for t minutes, the area that she can cover can be written as:
A(t) = (6.4 ft^2/min)*t
This is the linear equation we wanted to find.
