Given:
The increase in pressure P is the linear function of the depth d.

The cost of dinner is $300 and $10 per students.
To find:
The initial value and rate of change and their interpretation.
Find the cost function C where n is the number of students.
Solution:
The slope intercept form of a linear function is
...(i)
where, m is rate of change and b is y-intercept or initial value.
We have,
...(ii)
From (i) and (ii), we get

The initial value is 14.7. It means, the pressure at sea level is 14.7 pounds psi.
Rate of change is 0.445. It means, the pressure is increasing by 0.445 pounds psi for every feet.
The cost of dinner is $300 and $10 per students.
Let C(n) be the total cost for dinner and n be the number of students.
Fixed cost = $300
Additional cost for 1 student = $10
Additional cost for n student = $10n
Now,
Total cost = Fixed cost + Additional cost

Therefore, the required cost function is
.
The difference of the fraction is
by using equivalent expressions.
<h3>What is a number line?</h3>
A number line is a diagrammatic representation of real numbers on the graduated line. It ranges from negative axis to positive axis with 0 being the center position.
A sketch showing the representation of the difference in the mixed fractions can be seen in the image attached below.
Using equivalent expressions to determine the difference between the mixed fractions, we have;




Learn more about number line here:
brainly.com/question/25230781
#SPJ1
Answer:
Hexagon
Step-by-step explanation:
Answer: If an interior angle of a regular polygon measures 120°, it has 6 sides (Hexagon).
B. the slope is positive because its in a straight line