Question

The framing gallery can frame 4 pictures per hour. Write and solve a direct variation equation to find how many pictures they can expect to frame in a 6 1/2 hour shift.

A. 4p = 6.5
B. 4p = 26
C. p = 26
D. p = 4 x 6.5

Answer 1

The framing gallery can expect to frame 26 pictures in a 6 1/2 hour shift.

Step-by-step explanation:

To find how many pictures the framing gallery can expect to frame in a 6 1/2 hour shift, we can set up a direct variation equation. Direct variation equations are of the form y = kx, where y represents the dependent variable and x represents the independent variable. In this case, the dependent variable is the number of pictures framed and the independent variable is the number of hours. We are given that the framing gallery can frame 4 pictures per hour, so the equation becomes y = 4x.

To find how many pictures can be framed in a 6 1/2 hour shift, we substitute 6 1/2 for x in the equation:

y = 4(6 1/2)

Since 6 1/2 can be written as 6.5, the equation becomes:

y = 4(6.5)

Simplifying, we get:

y = 26

Therefore, the framing gallery can expect to frame 26 pictures in a 6 1/2 hour shift. The correct answer is B. 4p = 26.