Answer:
A linear formula for S as a function of D is S=17D+1534
Step-by-step explanation:
We are supposed to find a linear formula for S as a function of D.
Equation of line : y = mx+c
We are given that At the surface, the speed of sound is 1534 meters per second.
c = 1534
We are given that for each increase in depth by 1 km, the speed increases by 17 m/s
So, Slope = m = 17
Substitute the values in equation
y=17x+1534
x denotes depth
y denotes speed
We are given that Use D for depth and S for the speed of sound
So, S=17D+1534
Hence a linear formula for S as a function of D is S=17D+1534
4 million
Hope this Helps!
Equations with Independent and Dependent Variables
Common Core Standard: Use variables to represent two quantities in a real-world problem that change in relationship to one another; write an equation to express one quantity, thought of as the dependent variable, in terms of the other quantity, thought of as the independent variable. Analyze the relationship between the dependent and independent variables using graphs and tables, and relate these to the equation.
Dependent variable – is a variable that changes because of the other variable or depends on the other variable
Independent variable –is a variable that is not impacted by other variables
Dependent and independent variables are very common in the real world
Example: Most coaches will say that the longer a player practices a sport the better the player will be at the sport.
o The dependent variable is the player’s ability, as it relies on the length of a practice
o The independent variable is the number of hours the player practices, because the player’s ability does not
impact the amount of time the player practice
Well, first I'd start off by adding the hours. 10:30 Am + 1 hour = 11:30 AM.
11:30 Am + 1 hour = 12:30 PM. 12:30 + 1 hour = 1:30 PM. Then I would add the minutes. 3/4 of an hour is 3/4 of 60 minutes which is 45 mins. So, 1:30 PM + 45 minutes would be 2:15 PM.
