The answer is b) y = 3x + 3.
To find this, we first need to find the slope. The slope formula is listed below.
m = (y2 - y1)/(x2 - x1)
In this equation, m is the slope, and (x1, y1) is the first point, where (x2, y2) is the second point. We'll use (2, 9) and (3, 12) for the points.
m = (y2 - y1)/(x2 - x1)
m = (12 - 9)/(3 - 2)
m = 3/1
m = 3
Now that we have the slope at 3. we can use slope intercept form and one point to solve for the y-intercept. We'll use (2, 9) as the point.
y = mx + b
9 = 3(2) + b
9 = 6 + b
3 = b
When we use the slope and intercept together to get the equation. y = 3x + 3
Answer:
First term: 5
Fourth term: 5 1/2
Tenth term: 6 1/2
Step-by-step explanation:
Let's find the first, fourth and tenth terms of the arithmetic sequence described by the given rule:
A(n) = 5 + (n-1) (1/6)
First term:
A(1) = 5 + (1-1) (1/6)
A(1) = 5 + (0) (1/6)
A(1) = 5
Fourth term:
A(4) = 5 + (4-1) (1/6)
A(4) = 5 + (3) (1/6)
A(4) = 5 + 3/6 = 5 3/6 = 5 1/2 (simplifying)
Tenth term:
A(10) = 5 + (10-1) (1/6)
A(10) = 5 + (9) (1/6)
A (10) = 5 + 9/6 = 6 3/6 = 6 1/2 (simplifying)
Answer:
27.3 dollars
Step-by-step explanation:
