Barbara wants to record her favorite soundtracks on a cd. the soundtracks run 0.24 hour each and the cd will hold 6 hours of recordings. rounded to the nearest hundredth. how many soundtracks can barbara record on one cd?

25 songs

Step-by-step explanation:

Step 1

The first step is to realize that the is direct proportionality between the number of songs that can be record on the cd and the amount of time.

The problem statement states that 1 song takes 0.24 hours to record. We have to find out how many songs can be recorded over 6 hours  of recording

Step 2

The second step is to set up the direct proportionality ratios. This process is carried out as shown below,

Step 3

Use the direct ratios from step 2 to find the value of . This is done by using cross multiplication. The ratios tell us that ;

It is possible to have 25 soundtracks.

linearly: 8560 bacteria

exponentially: approximately 75233 bacteria

step-by-step explanation:

assuming it is not exponential (we would have some really complicated logarithms), let's say it is linear. then, after 5 hours, it increased by 1200 bacteria, so every hour it increases by 240 bacteria. this means that after 19 hours, we get 19 * 240 + 4000 bacteria or 3800 + 760 + 4000 = 7800 + 760 = 8560 bacteria.

because it says round your answer, i will do this exponentially (with a calculator, of course). first, we need to find how much it multiplies by every hour, by taking the 5th root of 52/40 or 13/10. this is approximately 0.167. we still need to add 1 to this, because we are multiplying by that number, not adding that amount of the number. now, we just calculate 4000 * (1.167)^19. use a calculator to get approximately 75232.6, or 75233.