Final answer:
To find the approximate value of a cable that is 100 miles long, you need to multiply the length of the cable by the cost per inch. The approximate value of the cable is $1,584,000.
Step-by-step explanation:
To find the approximate value of the cable, we need to multiply the length of the cable by the cost per inch. First, we need to convert miles to inches. There are 5280 feet in a mile and 12 inches in a foot, so there are 63,360 inches in a mile. Therefore, the cable that is 100 miles long is 100 * 63,360 = 6,336,000 inches long. Next, we multiply the length of the cable (6,336,000 inches) by the cost per inch ($25). The approximate value of the cable is 6,336,000 * 25 = $158,400,000. the magnetic field around the coil also decreasesHowever, we need to convert this value to dollars. There are 100 cents in a dollar, so we divide $158,400,000 by 100 to get $1,584,000. Therefore, the approximate value of the cable that is 100 miles long is $1,584,000.