HELP ASAP PLEASE!!!!
1 answer:
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Answer:
Part a)
Part b) The total cost is
Part c) see the explanation
Step-by-step explanation:
Part a) Write a linear equation to represent this situation
Define the variables
Let
x ----> the number of hours
y ----> the total cost in dollars
we know that
The linear equation in slope intercept form is equal to
where
m is the slope or the unit rate
b is the y-intercept or initial value (value of y when the value of x is equal to zero)
In this problem we have that
The unit rate or slope is equal to
The y-intercept or initial value is equal to
substitute
Part b) Use the equation to find the total cost to rent skis from 8:30 am to 3:00 pm
Remember that
3:00 pm=15:00
so
from 8:30 am to 3:00 pm, the total hours is equal to
15:00 -8:30=6:30=6.5 h
For x=6.5 h
substitute in the linear equation and solve for y
Part c) What does your answer mean in context of the problem?
we have that
y=220.25
That means -----> The total cost to rent skis for 6.5 hours is equal to $220.25
Answer:
<em>True </em>
Step-by-step explanation:
<em>Rate Of Change Of Functions </em>
Given a function y=f(x), the rate of change of f can be computed as the slope of the tangent line in a specific point (by using derivatives), or an approximation by computing the slope of a secant line between two points (a,b) (c,d) that belong to the function. The slope can be calculated with the formula
If this value is calculated with any pair of points and it always results in the same, then the function is linear. If they are different, the function is non-linear.
Let's take the first two points from the table (1,1)(2,4)
Now, we use the second and the third point (2,4) (3,9)
This difference in values of the slope is enough to state the function is non-linear
Answer: True