Question

Solve and connect the correct model to the algorithm: A submarine dives 1,200 feet below sea level. It then dives down 943 feet. What is its current depth?(1 point) Responses −1,200+943=−257 feet negative 1,200 plus 943 equals negative 257 feet Image with alt text: A number line with arrows on each end has 11 tick marks. The tick mark on the far left is labeled negative 1,200. The tick mark on the far right is labeled negative 257 and a box appears around the number. The 10 tick marks starting from the left side are equally spaced. The eleventh tick mark is spaced at approximately half the distance of the others. Curved arrow lines connect each of the tick marks and are labeled. The first curve starts at negative 1,200 and ends with an arrowhead at the next tick mark. Each subsequent curve starts and ends with an arrowhead. The first 9 curves are labeled plus 100. The last curve is labeled plus 43. −1,200+(−943)=−2,143 feet negative 1,200 plus left parenthesis negative 943 right parenthesis equals negative 2,143 feet Image with alt text: A number line with arrows on each end has 7 tick marks. The tick mark on the far left is labeled negative 1,200. The tick mark on the far right is labeled negative 2,143 and a box appears around the number. The 6 tick marks starting from the left side are equally spaced. The seventh tick mark is spaced at approximately half the distance of the others. Curved arrow lines connect each of the tick marks and are labeled. The first curve starts at negative 1,200 and ends with an arrowhead at the next tick mark. Each subsequent curve starts and ends with an arrowhead. The first 5 curves are labeled plus left parenthesis negative 100 right parenthesis. The last curve is labeled plus left parenthesis negative 43 right parenthesis. −1,200+(−943)=−2,143 feet negative 1,200 plus left parenthesis negative 943 right parenthesis equals negative 2,143 feet Image with alt text: A number line with arrows on each end has 11 tick marks. The tick mark on the far right is labeled negative 1,200. The tick mark on the far left is labeled negative 2,143 and a box appears around the number. The 10 tick marks starting from the right side are equally spaced. The eleventh tick mark is spaced at approximately half the distance of the others. Curved arrow lines connect each of the tick marks and are labeled. The first curve starts at negative 1,200 and ends with an arrowhead at the next tick mark. Each subsequent curve starts and ends with an arrowhead. The first 9 curves are labeled plus left parenthesis negative 100 right parenthesis. The last curve is labeled plus left parenthesis negative 43 right parenthesis. 1,200+943=2,143 feet 1,200 plus 943 equals 2,143 feet Image with alt text: A number line with arrows on each end has 11 tick marks. The tick mark on the far left is labeled 1,200. The tick mark on the far right is labeled 2,143 and a box appears around the number. The 10 tick marks starting from the left side are equally spaced. The eleventh tick mark is spaced at approximately half the distance of the others. Curved arrow lines connect each of the tick marks and are labeled. The first curve starts at 1,200 and ends with an arrowhead at the next tick mark. Each subsequent curve starts and ends with an arrowhead. The first 9 curves are labeled plus 100. The last curve is labeled plus 43. Skip to navigation

Answer 1

To find the current depth of the submarine after it dives down an additional 943 feet from its initial depth of 1,200 feet below sea level, we can represent the depths using negative numbers, as underwater depths are typically denoted as negative values.

1. Initial Depth: The submarine starts at -1,200 feet (which is 1,200 feet below sea level).
2. Additional Dive: The submarine then dives down 943 feet, which we can also represent as adding -943 feet.

The total depth can be calculated as follows:

\[ -1,200 + (-943) = -1,200 - 943 = -2,143 \text{ feet} \]

Hence, the submarine's current depth is -2,143 feet.

So, the correct model corresponds to the equation: \[ -1,200 + (-943) = -2,143 \text{ feet} \]

This indicates that the option showing \(-1,200 + (-943) = -2,143 \text{ feet}\) is the correct interpretation of the submarine's depth after its additional dive.