Answer:
Part (A) 25 and 35 are the coefficients, m and w are the variables and 75 is the Constant term.
Part (B) She have $345 in her account if she saves for 8 weeks and mows the lawn 2 times.
Part (C) the constant term of the expression will change.
Step-by-step explanation:
Consider the provided expression.
75 + 25w + 35m
Numbers appear with variables are called coefficients.
Alphabets in an expression are called variables.
Numbers appear without variables are called Constant terms.
Part (A) Identify a coefficient, a variable, and a constant in this expression.
From the above definition variables are the alphabets in an expression,
m and w are the variables in the expression.
From the above definition coefficient are number appears with alphabets,
The number 25 and 35 appear with variable m and w respectively.
Thus, 25 and 35 are the coefficients.
From the above definition constant terms are number appears without variables,
The number 75 appear without variables.
Thus, 75 is the Constant term.
Part (B) If Ellen saves for 8 weeks and mows the lawn 2 times, how much will she have in her account.
Substitute the value of w=8 and m=2 in the provided expression.
75 + 25(8) + 35(2)
75 + 200 + 70 = 345
Hence, she have $345 in her account.
Part (C) If Ellen had $95 in her savings account, would the coefficient, variable, or constant in the expression change
$75 in original expression represents the constant term which was the amount in her savings account.
If she had $95 in her account then the expression will be:
95 + 25w + 35m
We can observed that only constant term of the expression change.
Thus, the constant term of the expression will change, although coefficient and variable will remains unchanged.
