Question

A wall is 20 feet tall. A designer wants to hang a painting that is 3 feet tall. The distance between the floor and the bottom of the painting is a

feet. The distance between the ceiling and the top of the painting is b
feet. This relationship can be described by the equation

b=20−(a+3)

Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
1. Which variable is independent based on the equation given? Drag and drop the correct choice into the space below.






Type the answers in the boxes below.

3. What value of b
would work if the given value for a
is 5?

b=


4. The customer wants the painting to have 7 feet of space above it. Is the customer describing a
or b
?

The customer is describing
.

5. What is the value of the other variable in this case?

Answer 1

1. In the equation, "b = 20 - (a + 3)," "b" is the independent variable determining "a."

3. If a = 5, then substituting into "b = 20 - (a + 3)" gives b = 12.

4. The customer's request for 7 feet of space pertains to "a."

5. The value of "b" in this case is 10.

1. b variable is the correct choice.

In the equation "b = 20 - (a + 3)", the variable "a" is dependent on the value chosen for "b". The value of "b" determines the value of "a", making "b" the independent variable.

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3. b = 20 - (a + 3)

Substituting a = 5:

b = 20 - (5 + 3) = 20 - 8 = 12

Therefore, if a = 5, then b = 12.

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4. The customer is describing "a".

In the equation "b = 20 - (a + 3)", the value of "a" represents the distance between the floor and the bottom of the painting. The customer's request for 7 feet of space above the painting corresponds to the variable "a".

5. The value of the other variable (in this case, "b") would be "20 - (7 + 3) = 20 - 10 = 10".