Is (0, 3) a solution to the equation y = x + 3?
(1 point)
Responses
yes
yes
no
11 answers
no
Is (1, −4) a solution to the equation y = −2x?
(1 point)
Responses
yes
yes
no
(1 point)
Responses
yes
yes
no
yes
Look at the following points.
(4, 0), (3, −1), (6, 3), (2, −4)
Which are solutions to y = x − 4? Choose all correct answers.
(1 point)
Responses
(6, 3)
(6, 3)
(4, 0)
(4, 0)
(3, −1)
(3, −1)
(2, −4)
(4, 0), (3, −1), (6, 3), (2, −4)
Which are solutions to y = x − 4? Choose all correct answers.
(1 point)
Responses
(6, 3)
(6, 3)
(4, 0)
(4, 0)
(3, −1)
(3, −1)
(2, −4)
(6, 3)
(4, 0)
(3, −1)
(2, −4)
(4, 0)
(3, −1)
(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?
(1 point)
Responses
80
80
96
96
108
108
120
(1 point)
Responses
80
80
96
96
108
108
120
96
How can you use an equation to make a prediction from a pattern?
To make a prediction from a pattern using an equation, you need to identify the relationship between the given values and express it as an equation. Once you have the equation, you can use it to find the value of the pattern for any given input.
For example, if you notice that the pattern is increasing by 3 each time, you can write the equation as y = 3x, where x represents the input value (e.g., servings) and y represents the output value (e.g., number of crackers).
To make a prediction, you can substitute the desired input value into the equation and solve for the output value. For instance, if you want to predict the number of crackers in a box of 12 servings, you would substitute x = 12 into the equation: y = 3(12) = 36. Therefore, you predict that there would be 36 crackers in a box of 12 servings based on the pattern.
For example, if you notice that the pattern is increasing by 3 each time, you can write the equation as y = 3x, where x represents the input value (e.g., servings) and y represents the output value (e.g., number of crackers).
To make a prediction, you can substitute the desired input value into the equation and solve for the output value. For instance, if you want to predict the number of crackers in a box of 12 servings, you would substitute x = 12 into the equation: y = 3(12) = 36. Therefore, you predict that there would be 36 crackers in a box of 12 servings based on the pattern.
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.
(2 points)
(2 points)
Table:
Number of Slices (x) | Total Cost (y)
------------------------------------
1 | $1.50
2 | $3.00
3 | $4.50
4 | $6.00
5 | $7.50
Equation:
The equation that represents the relationship between the number of slices of pizza bought (x) and the total cost (y) can be written as:
y = 1.50x
This equation tells us that the total cost (y) is equal to the number of slices (x) multiplied by $1.50.
Number of Slices (x) | Total Cost (y)
------------------------------------
1 | $1.50
2 | $3.00
3 | $4.50
4 | $6.00
5 | $7.50
Equation:
The equation that represents the relationship between the number of slices of pizza bought (x) and the total cost (y) can be written as:
y = 1.50x
This equation tells us that the total cost (y) is equal to the number of slices (x) multiplied by $1.50.
2 answers