Ah, direct variation/proportion.
That is simply a linear equation with a y-intercept of 0.
So... let's solve this.
Simply put, a direct variation multiplies the x-value by a constant to get the y-value.
Let's take the point
on this graph and solve for the constant of proportionality:
We easily solve that and get our answer of
. (B)
Slope=m=y/x=rise/run=(y1-y2)/(x1-x2)
Labeling the question; 0=x1, 32=y1, 100=x2, 212=y2
so just go ahead and fill the numbers in;
(32-212)/(0-100)=(-180/-100)=1.8
so therefore, the slope is at 1.8
Answer:
18 terms
Step-by-step explanation:
The first given sequence has first term a1=2 and common difference d=5. Its explicit formula is ...
an = 2 +5(n -1) = 5n -3
We want the n-th term of this sequence to be the same as the n-th term of the sequence defined by ...
an = 4n +15
We can find n that makes this true by setting the 'an' values equal:
an = an
5n -3 = 4n +15
n = 18 . . . . . . . . . . add 3-4n
The number of terms in each sequence is 18.
_____
<em>Additional comment</em>
The last term in each sequence is 87.
you will have to do letter c witch was:
Step 1: Add the price of the tickets and the amount spent on food.
Step 2: Add the amount of the tax.
Step 3: Divide that total by 2.
The answer is <span>C. Intersecting lines</span>
