Question

4 markers cost $7.04. Which equation would help determine the cost of 7 markers?

a) 4 * $7.04 = 7 * x
b) $7.04 / 4 = x / 7
c) $7.04 = 4 * x
d) None of the above

Answer 1

The correct equation to find the cost of 7 markers based on the cost of 4 markers for 7.04 is b) 7.04 / 4 = x / 7. To solve for x, you would cross multiply and then divide to find the cost for 7 markers.

Step-by-step explanation:

The equation which would help determine the cost of 7 markers, given that 4 markers cost 7.04, is found by setting up a proportion where the cost of the markers is directly proportional to the number of markers. To find the cost per marker, you would divide the total cost by the number of markers and then multiply by the new number of markers you are interested in. In this case:

Initial condition: 4 markers = 7.04
To find the cost of each marker: 7.04 / 4 = x
To find the cost of 7 markers: x * 7
Thus, the correct equation is:

b) 7.04 / 4 = x / 7

To solve for x, which represents the cost of 7 markers, you would cross multiply to get:

7 * 7.04 = 4 * 7 * x
Divide both sides by 4 * 7 to isolate x:

x = (7.04 * 7) / 4