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Using the distributive property is the correct first step.
Now, using the associative property of addition, you get
Simplify the right hand side:
Add 5 and
On the left side, use the associative property. On the right, commutativity and associativity:
Simplify.
The domain of the function C(m) = 0.05m + 20 is (0, ∞) and the range of the function C(m) = 0.05m + 20 is (20, ∞).
<h3>What is the linear system?</h3>A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.
Haley pays a monthly fee of $20 for her cell phone and then pays 5 cents per minute used. The total cost of Haley’s monthly cell phone bill can be expressed by the function
The domain of the function is from zero to infinity because time can never be negative.
Then the range of the function will be
At m = 0, the value of C(m) will be
C(m) = 0.05(0) + 20
C(m) = 20
At m = ∞, the value of C(m) will be
C(m) = 0.05(∞) + 20
C(m) = ∞
Thus, the domain of the function is (0, ∞) and the range of the function is (20, ∞).
More about the linear system link is given below.