Respuesta :
The above question is based on Algebraic expressions. An algebraic expression is a mathematical expression which contains unknown variables represented by letters.
Our question above states that:
Cory earns $22 for every lawn he mows and $6 for every hedge he trims.
The Algebraic expression used to express the above statement is given to us in the question as :
22x + 6y
Where:
x = Number of lawns that he trims and
y = Number of hedges that he trims
Part A: Identify the coefficients and variables in the expression.
22x + 6y
i) The coefficients in this expression = 22 and 6. This is because a coefficient is always a number (Integer) that is multiplied by the unknown variable
ii) The variables in the above question = x and y. This is because variables are always represented by letters (alphabets)
Part B: How many terms are in the expression, what are they, and how do you know?
Terms are values which could be constants, variables or coefficients that make up an Algebraic expression.
There are two terms in the Algebraic expression = 22x + 6y and they are : 22x and 6y
Part 2: Which terms in the expression shows the total earned from mowing lawns?
Cory earns $22 for every lawn he mows
x = Number of lawns that he trims
Hence, the expression that shows the total earned from mowing lawns = $22 × x
= 22x
To learn more about similar questions like this, you can click this link: https://brainly.com/question/18543172
Here we have a problem with linear equations, we will find that:
A)The Coefficients are: 22 and 6
The variables are: x and y
B) The number of terms in the expression are two: 22x and 6y
2)Total earned for lawn mowing = 22x
Given that the expression 22x + 6y is used to keep track of Cory's earnings:
The Coefficient is a constant value in an equation which may be used to multiply a variable. In the scenario given, the coefficients are Cory's earning per lawn he mows and hedge he trims. The coefficient values are 22 and 6.
The variable in an expression represents values which can change or vary, in the scenario given, the number of lawns mowed or hedge trimmed may vary. Hence, the number of lawns and hedges are the variables.
The number of terms in the expression is 2:
The earning for lawn mowing.
The earning for hedge trimming.
Part 2:
Total earned from mowing lawns:
(earning per lawn mowed × number of lawns mowed)
(22 × x) = 22x
If you want to learn more, you can read:
https://brainly.com/question/18543172
