Answer:
x = 25
Step-by-step explanation:
We are given a word phrase:
In the proportion x over 5 equals 15 over 3 , which number is equal to x in the proportion?
So we will translate it to make it easier to solve.
Proportion x over 5 --->
equals ---> =
15 over 3 --->
Combining them, we get:
Solving this for x using cross multiplication:
Answer:
Part 1) The rate of change is
Part 2) The initial value is 68
Part 3) The function rule to the linear model is 
Step-by-step explanation:
we know that
The linear equation in slope intercept form is equal to

where
m is the slope or unit rate
b is the y-intercept or initial value
step 1
Find the slope
take two points from the table
(0,68) and (15,85)
The formula to calculate the slope between two points is equal to
substitute the values
In a linear function , the slope is the same that the rate of change
therefore
The rate of change is
step 2
Find the y-intercept
we know that
The y-intercept is the value of y when the value of x is equal to zero
Looking at the table
For x=0, y=68
therefore
The y-intercept is
The y-intercept is also called the initial value
therefore
The initial value is 68
step 3
Determine the function rule to the linear model

we have
substitute

Answer:
meters per seconds squared
Step-by-step explanation:
seconds squared cancel out and you're leftvwith just meters when
meters/seconds squared is multiplied with the seconds squared in t^2
g means gravity and
gravity is 9.8 meters per second squared
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