Let:
- x be the number of movie tickets bought
- y be the total cost
The equation to represent the relationship between the number of movie tickets bought and the total cost is:
y = 13.50x
You pay $13.50 per movie ticket.
Define each variable and write an equation to represent the relationship between the number of movie tickets bought and the total cost.
(3 points)
5 answers
For the equation, x−5=37
, can a value be substituted for x to make that a true number sentence? How many values could be substituted for x and have a true number sentence? Explain your answer.(3 points)
, can a value be substituted for x to make that a true number sentence? How many values could be substituted for x and have a true number sentence? Explain your answer.(3 points)
To determine if a value can be substituted for x to make the equation x - 5 = 37 true, we need to solve for x.
x - 5 = 37
By adding 5 to both sides of the equation, we get:
x = 42
Therefore, the equation x - 5 = 37 is true when x = 42.
In this case, there is only one value that can be substituted for x (which is 42) to make the equation a true number sentence.
x - 5 = 37
By adding 5 to both sides of the equation, we get:
x = 42
Therefore, the equation x - 5 = 37 is true when x = 42.
In this case, there is only one value that can be substituted for x (which is 42) to make the equation a true number sentence.
For the equation, y=x−6
, what value for x and y can be substituted to make a true number sentence? Show your work.
Note: There can be several answers here.
, what value for x and y can be substituted to make a true number sentence? Show your work.
Note: There can be several answers here.
To find the values for x and y that can be substituted into the equation y = x - 6 to make it a true number sentence, we can choose any value for x and then calculate the corresponding value for y.
One possible example is:
Let x = 10
Substituting x = 10 into the equation y = x - 6:
y = 10 - 6
y = 4
Therefore, when x = 10, the value of y is 4, making the equation y = x - 6 true.
This equation has infinitely many solutions as any value of x can be chosen, and the corresponding value of y will be x - 6. For example, when x = 0, y = -6, when x = 5, y = -1, and when x = 100, y = 94, and so on.
One possible example is:
Let x = 10
Substituting x = 10 into the equation y = x - 6:
y = 10 - 6
y = 4
Therefore, when x = 10, the value of y is 4, making the equation y = x - 6 true.
This equation has infinitely many solutions as any value of x can be chosen, and the corresponding value of y will be x - 6. For example, when x = 0, y = -6, when x = 5, y = -1, and when x = 100, y = 94, and so on.