Hey there!
Let's make a linear equation, and we'll plug in our values.
We have:
total = 20 + 2(number of lobsters caught)
We'll have t as total money earned and l as amount of lobsters.
t = 20 + 2l
However, she wants to make 130 dollars in 5 days. We plug in 130 for the total and we multiply the 20 by 5, as that would be her payment in five days excluding the lobsters caught.
130 = 20(5) + 2l
We simplify the right:
130 = 100 + 2l
Subtract 100 from both sides
30 = 2l
Divide both sides by 2
She needs to catch 15 lobsters.
Hope this helps!
Answer:
C) vertex: (-2, -4);
axis of symmetry: x = - 2
Step-by-step explanation:
One of the many ways to finding the vertex of a parabolic equation is to use the formula: for the x-coordinate of the vertex, and for the y-coordinate of the vertex.
However, since this equation is in vertex form, the simplest way to find the vertex would be by applying your knowledge of the vertex form of the parabola.
In this equation, we have the vertex form of a parabola: , where are the vertex coordinates.
In :
You may be wondering why h = -2 and not +2. This is because since the original vertex form is (x - h), this equation is basically subtracting a negative 2 to create a positive 2.
Now that we have the h and k values, we know the vertex:
The axis of symmetry is the vertical line that cuts right through the center point of the parabola, aka the vertex. Therefore, the axis of symmetry would be found by:
For this particular equation, h = -2, so the axis of symmetry would be:
This answer corresponds with <u>Answer Choice C.</u>