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
![a=mg+b](https://tex.z-dn.net/?f=a%3Dmg%2Bb)
where
m is the slope or unit rate
b is the a-intercept or initial value
In this problem we have
![m=\$4\ per\ game](https://tex.z-dn.net/?f=m%3D%5C%244%5C%20per%5C%20game)
![b=\$10](https://tex.z-dn.net/?f=b%3D%5C%2410)
substitute
![a=4g+10](https://tex.z-dn.net/?f=a%3D4g%2B10)
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 ----> ![a=4(0)+10=\$10](https://tex.z-dn.net/?f=a%3D4%280%29%2B10%3D%5C%2410)
For g=1 ----> ![a=4(1)+10=\$14](https://tex.z-dn.net/?f=a%3D4%281%29%2B10%3D%5C%2414)
For g=2 ----> ![a=4(2)+10=\$18](https://tex.z-dn.net/?f=a%3D4%282%29%2B10%3D%5C%2418)
For g=3 ----> ![a=4(3)+10=\$22](https://tex.z-dn.net/?f=a%3D4%283%29%2B10%3D%5C%2422)
For g=4 ----> ![a=4(4)+10=\$26](https://tex.z-dn.net/?f=a%3D4%284%29%2B10%3D%5C%2426)
The table is
![\left[\begin{array}{ccc}g&a\\0&10\\1&14\\2&18\\3&22\\4&26\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dg%26a%5C%5C0%2610%5C%5C1%2614%5C%5C2%2618%5C%5C3%2622%5C%5C4%2626%5Cend%7Barray%7D%5Cright%5D)
Part c) Use the values from your table to draw a graph
we have the ordered pairs
![(0,10),(1,14),(2,18),(3,22),(4,26)](https://tex.z-dn.net/?f=%280%2C10%29%2C%281%2C14%29%2C%282%2C18%29%2C%283%2C22%29%2C%284%2C26%29)
Plot the ordered pairs and join them to graph the line
The graph in the attached figure