Is (0,3) a solution to the equation y=x+3?
yes
no
13 answers
No
Is (1, -4) a solution to the equation y=-2x?
yes
no
yes
no
Yes
(4,0), (3, -1), (6, 3), (2, -4)
Which are solutions to y=x-4? Choose all correct answers.
(6, 3)
(4, 0)
(3, -1)
(2, -4)
Which are solutions to y=x-4? Choose all correct answers.
(6, 3)
(4, 0)
(3, -1)
(2, -4)
(6, 3)
(4, 0)
(2, -4)
(4, 0)
(2, -4)
There are 8 crackers in 1 serving, 16 crackers in 2 servings, 24 crackers in 3 servings, and so on. How many crackers are in a box of 12 servings?
80
96
108
120
80
96
108
120
To find the number of crackers in a box of 12 servings, we can use the pattern that there are 8 crackers in 1 serving, 16 crackers in 2 servings, 24 crackers in 3 servings, and so on.
We notice that there are 8 more crackers for each additional serving. So, for 12 servings, there would be 8 x 12 = 96 more crackers than in 1 serving.
To find the total number of crackers in the box of 12 servings, we add this amount to the number of crackers in 1 serving: 8 (from 1 serving) + 96 (from 12 servings) = 104.
Therefore, there would be 104 crackers in a box of 12 servings.
We notice that there are 8 more crackers for each additional serving. So, for 12 servings, there would be 8 x 12 = 96 more crackers than in 1 serving.
To find the total number of crackers in the box of 12 servings, we add this amount to the number of crackers in 1 serving: 8 (from 1 serving) + 96 (from 12 servings) = 104.
Therefore, there would be 104 crackers in a box of 12 servings.
Give an example of an open equation.
An example of an open equation is:
3x + 5 = y
3x + 5 = y
How can you use an equation to make a prediction from a pattern?
To use an equation to make a prediction from a pattern, you would first identify the pattern in the given data or sequence. Then, you can create an equation that represents the relationship between the independent variable (input) and the dependent variable (output) in the pattern.
Once you have the equation, you can use it to make predictions for values that are not part of the given pattern. Simply substitute the desired value for the independent variable in the equation and solve for the dependent variable.
For example, let's say you have a pattern of numbers where the independent variable (x) represents the number of days and the dependent variable (y) represents the temperature in degrees Celsius. You observe that on day 1, the temperature is 20°C, and each subsequent day, the temperature decreases by 2°C.
The pattern can be represented by the equation y = 20 - 2x. Now, if you want to predict the temperature on day 7, you substitute x = 7 into the equation:
y = 20 - 2(7)
y = 20 - 14
y = 6
According to the equation, the predicted temperature on day 7 would be 6°C.
Once you have the equation, you can use it to make predictions for values that are not part of the given pattern. Simply substitute the desired value for the independent variable in the equation and solve for the dependent variable.
For example, let's say you have a pattern of numbers where the independent variable (x) represents the number of days and the dependent variable (y) represents the temperature in degrees Celsius. You observe that on day 1, the temperature is 20°C, and each subsequent day, the temperature decreases by 2°C.
The pattern can be represented by the equation y = 20 - 2x. Now, if you want to predict the temperature on day 7, you substitute x = 7 into the equation:
y = 20 - 2(7)
y = 20 - 14
y = 6
According to the equation, the predicted temperature on day 7 would be 6°C.
Pizza costs $1.50 per slice. Use a table and an equation to represent the relationship between the number of slices of pizza bought and the total cost.
Here is a table representing the relationship between the number of slices of pizza bought and the total cost:
Number of Slices (x) | Total Cost (y)
------------------------------------
1 | $1.50
2 | $3.00
3 | $4.50
4 | $6.00
5 | $7.50
To represent this relationship with an equation, we can let x represent the number of slices of pizza bought and y represent the total cost. Since each slice costs $1.50, we can multiply the number of slices by the cost per slice to find the total cost.
The equation representing this relationship is: y = 1.50x
This equation shows that the total cost (y) is equal to the cost per slice ($1.50) multiplied by the number of slices (x).
Number of Slices (x) | Total Cost (y)
------------------------------------
1 | $1.50
2 | $3.00
3 | $4.50
4 | $6.00
5 | $7.50
To represent this relationship with an equation, we can let x represent the number of slices of pizza bought and y represent the total cost. Since each slice costs $1.50, we can multiply the number of slices by the cost per slice to find the total cost.
The equation representing this relationship is: y = 1.50x
This equation shows that the total cost (y) is equal to the cost per slice ($1.50) multiplied by the number of slices (x).