Gwen volunteered to work at the ticket booth for her school's Halloween carnival. The chart below gives the number of hours Gwen worked and the total number of tickets she sold.
Hours (h) Tickets (t)
1 23
2 46
3 69
4 92
Based on the table, write an equation for the relation between the number hours Gwen worked and the number of tickets she sold.
Responses
t=23h
t=h/23
ht=23
h=23t
5 answers
t = 23h
why
The equation "t = 23h" is derived from the given table of values. In the table, it can be observed that for every hour Gwen worked, she sold 23 tickets. Therefore, the equation represents the relationship between the number of hours worked (h) and the number of tickets sold (t).
Solve:
−8+6x−(−12)=6x−16+2x
Responses
x=−6
x=−18
x=10
No Real Solutions
−8+6x−(−12)=6x−16+2x
Responses
x=−6
x=−18
x=10
No Real Solutions
Let's solve the equation step by step:
-8 + 6x - (-12) = 6x - 16 + 2x
-8 + 6x + 12 = 6x - 16 + 2x
4 + 6x = 8x - 16
Rearrange the equation to get all the x terms on one side:
-6x + 4 = 2x - 16
Add 6x to both sides:
4 = 8x - 16
Add 16 to both sides:
20 = 8x
Divide both sides by 8:
20/8 = x
x = 2.5
Therefore, the solution to the equation is x = 2.5.
-8 + 6x - (-12) = 6x - 16 + 2x
-8 + 6x + 12 = 6x - 16 + 2x
4 + 6x = 8x - 16
Rearrange the equation to get all the x terms on one side:
-6x + 4 = 2x - 16
Add 6x to both sides:
4 = 8x - 16
Add 16 to both sides:
20 = 8x
Divide both sides by 8:
20/8 = x
x = 2.5
Therefore, the solution to the equation is x = 2.5.
1 answer