Final answer:
The correct equation to calculate the savings from a 40% off sale on $149 worth of goods is 149(0.4) = x, where x represents the amount saved. The customer will therefore save $59.60.
Step-by-step explanation:
To determine the amount saved during a 40%-off liquidation sale on goods worth $149, we start by understanding what 40% off means. This percentage needs to be converted into a decimal to find the actual savings amount. Thus, 40% becomes 0.4 when converted. To calculate the savings (x), we multiply the total amount of the goods by 0.4. The correct equation that represents the savings is 149(0.4) = x. This means that the customer will save $59.60, because 149 * 0.4 = 59.6.
The wrong choices typically mix up the multiplication and place x incorrectly. For example, option a incorrectly assumes x is on one side of the equation by itself, suggesting a different meaning to the problem. Options b and c incorrectly combine multiplication and addition or set up an equation that implies an incorrect relationship between the price and the savings. Lastly, option e incorrectly multiplies the dollar amount by the percentage without converting it to decimal form.