Question

The price of a share of stock in JZMobile was $74 two weeks ago. Seven weeks ago, the price was $59 a share. Which linear equation to find the price p of a share of JZMobile w weeks from now?
A. p=5w+64
b. p=104-15w
c. p=80-3w
d. p=68+3w
ILL GIVE BRAINLIEST IF YOU EXPLAIN

Answer 1

Given:

The price of a share of stock in JZMobile was $74 two weeks ago.

Seven weeks ago, the price was $59 a share.

To find:

The linear equation to find the price p of a share of JZMobile w weeks from now.

Solution:

Let, p be the price of a share of JZMobile w weeks from now.

The price of a share of stock in JZMobile was $74 two weeks ago. It means, the graph of linear equation passes through (2,74).

Seven weeks ago, the price was $59 a share. It means, the graph of linear equation passes through (7,59).

The graph of linear equation passes through two points (2,74) and (7,59). So, the linear equation is

$y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)$

$y-74=\dfrac{59-74}{7-2}(x-2)$

$y-74=\dfrac{-15}{5}(x-2)$

$y-74=-3(x-2)$

$y-74=-3x+6$

Adding 74 on both sides, we get

$y=-3x+6+74$

$y=-3x+80$

$y=80-3x$

Therefore, the correct option is C.