Answer:
Third option
Step-by-step explanation:
In this case we must write a quadratic equation in the vertex form.
We have the vertice. (-1, 5)
We know that the vertex form for a quadratic equation is:
.
Where (h, k) is the vertex.
So if the vertex is (-1, 5), the equation sought is:
Therefore the answer is the Third option.
m = the number of miles
30 + 0.18m ≤ 75
[They charge $30 plus $0.18 per mile(m), she can spend no more than $75. So $75 is the maximum/most she can spend, she can't spend over $75.]
Your answer is C
Now you need to find the solution of the inequality in order to graph it.
30 + 0.18m ≤ 75 Isolate "m". Subtract 30 on both sides
0.18m ≤ 45 Divide 0.18 on both sides
m ≤ 250 [this means that she can drive 250 miles on $75]
Next you need to graph it on a number line.
When the sign is ≤ or ≥, the dot is filled in
When the sign is < or >, the dot is an open circle/not filled in
m ≤ 250 [m is less than or equal to 250, so m can be 250 or any number less than 250]
The graph shows that she can only drive 250 miles or less on $75
