Find the solution to the system of equations: x+3y=7 and 2x+4y=8
1 answer:
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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
