What number divided by 8 equals 9
2 answers:
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The question is incomplete:
The members of a wheelchair basketball league are playing a benefit game to meet their fundraising goal of $900. Tickets cost $15 and snacks cost $6.
a. Write a linear equation that describes the problem
b. Graph the linear equation.
c. If the team sells 50 tickets, how many snacks does it need to sell to reach the goal?
Answer:
a.15x+6y= 900
b. The graph is attached.
c. 25
Step-by-step explanation:
a. From the information provided, the linear equation has to express that the number of tickets multiply for its price plus the number of snacks multiply for its price would be equal to $900:
15x+6y= 900
x= number of tickets
y= number of snacks
b.
When x= 0:
15(0)+6y= 900
y=900/6= 150
When y=0
15x+6(0)= 900
x=900/15= 60
With these points, you can graph the linear equation and the image is attached.
c. You have to replace the value of x in the equation and isolate y:
15x+6y= 900
15(50)+6y= 900
750+6y=900
6y= 900-750
6y= 150
y= 150/6
y= 25
You need to sell 25 snacks to reach the goal.
The number that will be added to both side is the square of half the coeficient of x. i.e.
