The function f(x) = 4(3)x represents the growth of a dragonfly population every year in a remote swamp. erin wants to manipulate the formula to an equivalent form that calculates four times a year, not just once a year. which function is correct for erin's purpose, and what is the new growth rate?

 function is correct for Erin's purpose and the new growth rate is 32%

Step-by-step explanation:

Growth rate function: --A

where r is the rate of growth

We are given that The function represents the growth of a dragonfly population every year in a remote swamp.

Now Erin wants to manipulate the formula to an equivalent form that calculates four times a year, not just once a year

So, equation becomes:

Now on comparing with A

1.32=1+r

0.32=r

So, New growth rate = 0.32=32%

Hence  function is correct for Erin's purpose and the new growth rate is 32%

$450.00 for 6 weeks

or

$300

step-by-step explanation:

$200.00 for first week $50.00 x5 equals $250 plus $200 equals $450.00 for six weeks.

$200 for first week

$200 x 0.10 = $20

$20 x 5 = $100

$200 + $100 = $300

b. 1.25 hr

step-by-step explanation:

if you have a constant speed of 60 mph, then you have a ratio between 60 mi. to 1 hr. dividing both sides by 60 we get the ratio

1 mi. to

then mult. both sides by 75 we get the ratio

75 mi. to

simplifying we get

75 mi. to

or 1.25 hr.