d = 3 , a₁₂ = 40 and S
= 7775
In an arithmetic sequence the nth term and sum to n terms are
<h3>• a
= a₁ + (n-1)d</h3><h3>• S
=
[2a + (n-1)d]</h3><h3>
where d is the common difference</h3><h3>a₆ = a₁ + 5d = 22 ⇒ 7 + 5d = 22 ⇒ 5d = 15 ⇔ d = 3</h3><h3>a₁₂ = 7 + 11d = 7 +( 11× 3) = 7 + 33 = 40</h3><h3>S₁₀₀ =
[(2×7) +(99×3)</h3><h3> = 25(14 + 297) = 25(311)= 7775</h3>
The independent variable would be the fixed rate of $3 because the amount for each mile driven changes based on how far they drive
Answer: A
Explanation: It’s A because 28,500 - 23,700 = 4,800. 4,800 / 3 = 1,600. 23,700 - 4,800 = 18,900 - 1,600 = $17,300. Hope this helps :)
To find the equation of a line, you need to find the slope and y-intercept by using the slope formula and point slope formula.
First, let's find the slope. 11 + 5/9 - 1 = 16/8 = 2. Therefore, the slope is 2.
Then, plug it into the point slope formula.
y + 5 = 2(x - 1).
Distribute: y + 5 = 2x - 2
Subtract 5 on both sides: y = 2x - 7.
Your final equation, that you need to plug into your answer, is y = 2x - 7.
Hope this helps!! If you need further assistance, message me or comment under this post!
