Answer:
Writing an equation to model a real-world problem is often easier when you take the information given in the problem and express it in verbal form by using a few key words. This is very similar to translating verbal phrases into variable expressions. The difference is you will be translating a verbal sentence into an equation. Then, you can solve the equation using inverse operations.
Let’s look at an example.
Monica purchased a pair of tennis shoes that had this sticker on the bottom of the shoe.
$99.00$65.99
Use a verbal model to write and solve an equation to determine the amount of money Monica saved by purchasing the shoes on sale.
First, write a verbal model to represent the problem.
Verbal Model:
Sales Price+Amount Saved=Original Price
Next, name the variable.
Let ‘
s
’ represent the amount saved.
Next, solve the equation you have written. Remember an equation is like a balance scale. To keep the scale balanced, what you do to one side of the equation you must also do to the other side. When solving an equation your goal is to isolate the variable on one side of the equation and the numerical terms on the other side. This is done by performing inverse operations.
65.99+s=99.00
First, isolate the variable ‘
s
’ by subtracting 65.99 from both sides of the equation. Subtraction is the inverse of addition.
65.99−65.99+s=99.00−65.99
Next, simplify each side.
s=33.01
The answer is $33.01.
Answer:
Growth/Decay Factor = -6
Step-by-step explanation:
Hi there!
To find the growth/decay factor (<em>m</em>), we can use the following formula:
where two given points are 
and 
Plug any two of the given points in the table (below, you can see that I used (2,3) and (1,9):
Therefore, the growth/decay factor is -6.
I hope this helps!
Answer:x=4
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
4−3x=8−4x
4+−3x=8+−4x
−3x+4=−4x+8
Step 2: Add 4x to both sides.
−3x+4+4x=−4x+8+4x
x+4=8
Step 3: Subtract 4 from both sides.
x+4−4=8−4
x=4
Answer:
Cubic trinomial
Step-by-step explanation:
Higest power is 3 and there are 3 terms
The width of model is 5.2 inches
<em><u>Solution:</u></em>
Given that, model of space shuttle Apollo Saturn V is created width a scale of 1 : 144
The actual space shuttle has a width of 62.4 feet
Convert 62.4 feet to inches
1 feet = 12 inches
62.4 feet = 12 x 62.4 inches = 748.8 inches
Actual width = 748.8 inches
To find: Width of model in inches
From given,
Scale width : Actual width = 1 : 144
Let "x" be the scaled width
Then we can say,
Scale width : Actual width = 1 : 144
x : 748.8 = 1 : 144
In fractions,
Thus the width of model is 5.2 inches
