Question

Laurie is trying to stay within 10 feet of her current diving depth of –30 feet (with regard to sea level) so that the light is still good but she can be close to the sea life during her scuba dive. Which two equations can be used to find the minimum and maximum depths Laurie wants to stay between?

-30 - x = 10 and -30 - x = –10
-30 + x = 10 and -30 + x = –10
x + 10 = 30 and x + 10 = –30
x – 10 = 30 and x – 10 = –30

Please answer correctly

Answer 1

To find the minimum and maximum depths Laurie wants to stay between, we can start with her current depth of –30 feet and determine the range allowed by staying within 10 feet of that depth.

1. The maximum depth would be –30 feet + 10 feet = –20 feet.
2. The minimum depth would be –30 feet - 10 feet = –40 feet.

This gives us a range of –40 feet to –20 feet.

The equations that represent the depth range are:

1. For the upper limit (maximum depth):
\(-30 + x = -20\) (which would imply \(x = 10\))

2. For the lower limit (minimum depth):
\(-30 + x = -40\) (which would imply \(x = -10\))

However, these are not listed in the options you provided.

The correct option from your list that is generally equivalent based on basic algebraic manipulation gives the range from –40 to –20 feet would be:

**-30 - x = 10** and **-30 - x = –10**

Here’s how to check:
1. For the equation \(-30 - x = 10\):
- Solve for \(x\):
\(-x = 10 + 30\)
\(-x = 40\)
\(x = -40\) (minimum depth)

2. For the equation \(-30 - x = –10\):
- Solve for \(x\):
\(-x = -10 + 30\)
\(-x = 20\)
\(x = -20\) (maximum depth)

Thus, the two equations that can be used to find the minimum and maximum depths Laurie wants to stay between are:

**-30 - x = 10** and **-30 - x = –10**.