Give an example of an open equation.
(1 point)
One example of an open equation is "3x + 2 = y".
How can you use an equation to make a prediction from a pattern?
(1 point)
You can use an equation to make a prediction from a pattern by plugging in the values from the pattern into the equation and solving for the corresponding unknown value. This allows you to find the relationship between the known values and the unknown value, and use that relationship to predict the value of the unknown variable for any other given value.
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)
Number of Slices (x) | Total Cost (y)
--------------------------------------
1 $1.50
2 $3.00
3 $4.50
4 $6.00
5 $7.50
. .
. .
. .
In this table, the number of slices of pizza bought is represented by the variable x, and the total cost is represented by the variable y. The equation representing the relationship between the two variables is:
y = 1.50x
This equation states that the total cost (y) is equal to the price per slice ($1.50) multiplied by the number of slices (x).
The legendary Pony Express rode its way into American history.
That's correct! The Pony Express was a famous mail delivery service in the United States during the 19th century. It operated from April 1860 to October 1861, and its main purpose was to deliver mail and messages across the country at a faster pace than traditional methods, such as stagecoaches. The riders of the Pony Express became legendary figures and played a vital role in connecting the East with the West during that time.
Fill-in-the-Blank with the preposition of the sentence.(1 point)
The legendary Pony Express rode its way into American history.
The legendary Pony Express rode its way into American history.
An open equation is an equation that contains one or more variables. Here's an example of an open equation:
3x + 7 = y
In this equation, x and y are variables. The equation is open because it is not possible to determine a specific value for y without knowing the value of x.