Simplify the expression.
2 answers:
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Answer:
40 pounds
Step-by-step explanation:
Given: Cost of a candy =
per pound
Cost of candy
Total amount of mixture of be produced =
Selling price of mixture =
Let´s x be the amount of to be mixed in the mixture.
∴ Cost of in the mixture = 12x
Next, Cost of in the mixture =
And we know the cost of final mixture =
Now, putting all the value in the equation
⇒
⇒
⇒
∴
∴ 40 pounds of candy worth $12 per pound to be mixed in the mixture.
Answer:
<em>The base fee is 5</em>
Step-by-step explanation:
<u>Linear Function</u>
The linear function is widely used to model real situations in life where the dependancy of one variable are linear by nature.
The problem gives us three conditions, more than enough to find a linear model for the earnings for running errands. Let's make x the number of hours it takes to run the errands, and y the earnings. The linear model has the general equation
We have these points (1,20) (2,35) (3,50) and need to find the base fee, which is the value of b or the independant term of the equation.
We'll use the first two points to find the equation and the third point to verify it. Using (1,20)
Now we use (2,35)
Subtracting both equations
Replacing into the first equation
The equation is
Let's test the formula by replacing the point x=3
The model is accurate and the base fee is 5