Answer: 1) D
2) C
Step-by-step explanation:
1. The blue algae has an initial mass of 20 kg and doubles its mass every hour. Then after t hours, the mass of blue algae is
2. The green algae has an initial mass of 160 kg and grows at a constant rate of 0.20 kg per minute. Then after t hours (60t minutes), the mass of green algae is
Part I) At t=3:
The mass of green algae has 196-160=36 kg more mass at 3 hours.
Part II) At t=4:
The blue algae has 320-208=112 kg more mass at 4 hours.
Answer:

Step-by-step explanation:
Let
x ----> the number of tickets
y ----> the price of tickets
we have the ordered pairs
(4,63) and (6,92)
step 1
<em>Find the slope of the linear equation</em>
The formula to calculate the slope between two points is equal to

substitute the values


step 2
Find the y-intercept or initial value of the linear equation
we know that
The linear equation in slope intercept form is equal to

where
m is the slope b is the y-intercept
we have


substitute

solve for b


In this context the y-intercept is a one charge fee for the ticket service
The equation is equal to

To get that, you have to multiply the both numbers, which is 24*12=288
I added a screenshot with the complete question
<u><em>Answer:</em></u>Total miles = 2.5 miles
<u><em>Explanation:</em></u><u>1- While walking:</u>
We are given that Joelle walked 20 minutes at a rate of 3 miles per hour.
This means that she walked

of an hour at a rate of 3 miles per hour
The formula that relates distance, time and velocity is:
Distance = velocity * time<u>Substitute with the givens to get the distance she covered while walking:</u>
Distance = 3 *

= 1 mile
<u>2- While running:</u>
We are given that Joelle ran 15 minutes at a rate of 6 miles per hour
This means that she ran

of an hour at a rate of 6 miles per hour
The formula that relates distance, time and velocity is:
Distance = velocity * time<u>Substitute with the givens to get the distance she covered while running:</u>
Distance = 6 *

= 1.5 miles
<u>3- getting the total mileage:</u>
Total distance she covered = distance while walking + distance while running
Total distance she covered = 1 + 1.5
Total distance she covered = 2.5 miles
Hope this helps :)
Answer:

Step-by-step explanation:
We want to find

This can be rewritten as;


Recall that; 

We evaluate now to obtain;
