The density curve below represents the number of hours that Mrs. Schultz's students spent studying for
1 answer:
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Answer:
No
Step-by-step explanation:
If the lines are perpendicular then they will be the negative reciprocals of each other.
Calculate the slope using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = P(- 8, - 10) and (x₂, y₂ ) = Q(- 5, - 12)
=
= -
Repeat the process with
(x₁, y₁ ) = R(9, - 6) and (x₂, y₂ ) = S(17, - 5)
=
=
The slopes are not the negative reciprocal of each other, thus they are not perpendicular.
Step 1
<u>Find the equation in function notation</u>
Let
h-------> the number of hours
y-------> the function for the walker fee in dollars
we know that
the hourly rate is
in this linear equation
the independent variable is the variable h
the dependent variable is the variable y
<u>Convert to function notation</u>
Let
Step 2
Find how much does the dog walker charge for a 45 minute walk
Convert the time in hours
substitute in the equation
For
therefore
<u>the answer is</u>
the dog walker charge for a 45 minute walk
<u>Statements</u>
Step 3
<u>The dependent variable is the number of hours true or false</u>
The statement is false,
because the independent variable is the number of hours and the dependent variable is the walker fee in dollars
Step 4
<u>The function for the walker fee is f(h)= 30h+6 true or false</u>
The statement is True --------> see the Step 1
Step 5
<u>The dog walker charges $22.5 for a 45 min walk true or false</u>
The statement is False
Because the dog walker charges for a 45 minute walk