<u><em>Answer:</em></u>
Part a .............> x = 11
Part b .............> k = 57.2
Part c .............> y = 9.2
<u><em>Explanation:</em></u>
The three problems deal with inverse variation between two variables
An inverse variation relation between two variables means that when one of the variables increases, the other will decrease (and vice versa)
<u>Mathematically, an inverse variation relation is represented as follows:</u>

where x and y are the two variables and k is the constant of variation
<u><em>Now, let's check the givens:</em></u>
<u>Part a:</u>
We are given that y = 3 and k = 33
<u>Substitute in the original relation and solve for x as follows:</u>

<u>Part b:</u>
We are given that y = 11 and x = 5.2
<u>Substitute in the original relation and solve for k as follows:</u>

<u>Part c:</u>
We are given that x=7.8 and k=72
<u>Substitute in the original relation and solve for y as follows:</u>
to the nearest tenth
Hope this helps :)
Answer:
<em>She will pay $1,047.12 interest for one year</em>
Step-by-step explanation:
<u>Simple Interest</u>
Occurs when interest is calculated on the original principal only.
Unlike compound interest where the interest earned in the compounding periods is added to the new principal, simple interest only considers the principal to calculate the interest.
The interest earned is calculated as follows:
I=P.r.t
Where:
I = Interest
P = initial principal balance or loan
r = interest rate
t = time
Samantha takes out a loan for $17,452 at r=6%=0.06 simple interest for t=1 year. Calculating the interest:

I = $1,047.12
She will pay $1,047.12 interest for one year
Let h equal the length of the party in hours
200.66 + 30.53h = 322.78
now just solve for h :)
30.53h = 122.12
h = 4
so the party was 4 hours long
Answer:
16.7
Step-by-step explanation:
speed is constant at 17 mph
Distance covered after one hour = 17 miles
Distance between port and San Francisco = 3 miles
Speed at which distance changes 1 hour after leaving port :
r² = 17² - 3²
r² = 289 - 9
r = √280
r = 16.733
= 16.7 (nearest tenth )