Question

a surface of the oca scuba diver wants to dive more than 2 1/2 times her previous deepest dive. that means she has to dive at least 70 feet below then. this drive is represented by the inequality 2 1/2p<−70, where p is the distance below the surface of her previous deepest dive. select from the drop-down to correctly interpret the solution of this inequality. the scuba diver's previous deepest dive was choose... feet below the surface of the ocean.

Answer 1

By solving the inequality 2 1/2p < -70, we find that the scuba diver's previous deepest dive should be fewer than 28 feet to achieve her goal of diving more than 2.5 times deeper than her previous record.

Step-by-step explanation:

To interpret the solution of the inequality 2 1/2p < -70, where p represents the distance below the surface of her previous deepest dive, we need to solve it for p. The inequality suggests that the scuba diver's goal is to dive more than 2.5 times deeper than her previous record.

First, we isolate p on one side of the inequality:

• Multiply both sides by ½ to get rid of the fraction: p < -70 × ½
• This simplifies to: p < -28

Therefore, the scuba diver's previous deepest dive was fewer than 28 feet below the surface of the ocean, since she wants to dive more than 2.5 times deeper and needs to go at least 70 feet below her previous record.

Answer 2

28

Step-by-step explanation:

1. Solve for P

2 1/2p<−70

= (2×2+1)p<−140

= (4+1)p<−140

= 5p<−140

= p<-140/5

= p < -28

There fore it is deeper than 28