Ascuba tank holds 2.6 m3 of compressed air. a diver at a shallow depth uses about 0.002 m3 per breath and takes about 15 breaths per minute. how much air will the diver use in 1 minute?

The diver will use a total amount of 0.03 m³ in a minute

Step-by-step explanation:

Step 1: Determine number of breaths per minute

This can be expressed as;

Number of breaths=breaths per minute×number minutes

where;

breaths per minute=15

number of minutes=1

replacing;

Number of breaths=(15×1)=15 breaths

Step 2: Total volume of air used

This can be expressed as;

Total volume=volume per breath×number of breaths

where;

volume per breath=0.002 m3

number of breaths=15

replacing;

Total volume=(0.002×15)=0.03 m³

The diver will use a total amount of 0.03 m³ in a minute

the revenue of the fitness center, y, is the product of two factors: the number of members and the fee paid by each member. there are 320 members now, but number of members goes down by 10 for each $5 increase in fees, so if x is the number of $5 price increases then members is equal to (320 - 10x). since the fee is currently $45, and the fee increases by $5 for every price bump x, the fee is given by (45 + 5x). so, revenue y is given by y = (320 - 10x)(45 + 5x).