The graph below shows the hours students spent studying and their science test scores.
2 answers:
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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
Answer:
Option B: x > 0
Step-by-step explanation:
Option A is wrong because will be 0. So, the inequality can't be divided by 0.
Option C is wrong because 1 will suffice this inequality.
Option D is wrong because any value in the root has to be greater or equal to 0 (otherwise, it's imaginary number). -1 will give the latter root a value of root-(-3).
Leaving us with only option B, which is the right answer.