A linear equation is represented as: .
The equation of the line is:
First, we calculate the slope (m) of
Make y the subject
Divide by 18
In
slope
So, the slope of is:
Since, the line is perpendicular to
The slope of the line is:
So, we have:
The line passes through (4,-2).
So, the equation is:
This gives:
Hence, the linear equation is:
Read more about at:
Answer:
Part a) (see the explanation)
Part b) see the explanation
Part c) The graph in the attached figure
Step-by-step explanation:
<u><em>The complete question is</em></u>
With a family bowling pass, families can bowl for $4 per game. The pass costs $10 per year. Use an equation, a table, and a graph to explain the relationship between the total amount of money spent on bowling in a year, a, and the number of games a family plays in a year, g. Part A Use words and an equation to represent this problem. Part B Create a table to show values for g and a. Part C Use the values from your table to draw a graph.
Part A) Use words and an equation to represent this problem
Let
a ----> the total amount of money spent on bowling in a year
g ---> the number of games a family plays in a year
we know that
The linear equation in slope intercept form is equal to
where
m is the slope or unit rate
b is the a-intercept or initial value
In this problem we have
substitute
Part b) Create a table to show values for g and a
Assume different values of g and calculate the corresponding values of a
For g=0 ---->
For g=1 ---->
For g=2 ---->
For g=3 ---->
For g=4 ---->
The table is
Part c) Use the values from your table to draw a graph
we have the ordered pairs
Plot the ordered pairs and join them to graph the line
The graph in the attached figure
