The equation of the line would be
y = mx+b
where m is the slope, b is the y intercept.
<span>The line will form a triangular region in the first quadrant. Its area would be 1/2 base times height. The height is the y intercept
and the base is y intercept divided by slope. Therefore,</span>
A = b^2/2m
At point (2,5)
5 = 2m+b
Substitute that in the area
A = b^2/5-b
to find the least area, differentiate the area with respect to the height and equate it to 0
dA/db = 0
<span>find b and
use that to find m. Then, you can have the equation of the line.</span>
We first find value of tax in dollars.
The difference between the two prices is: 23. 54 - 22 = 1.54
Therefore the sales tax in dollars is 1.54
The tax % will be (amount of tax / original cost price ) × 100
(1.54 / 22) × 100 → (0.07) × 100 = 7
So the tax rate is 7%
We can double check the answer.
7 % of 22 → (7/100) × 22 → 0.07 × 22 = 1.54
22 + 1.54 = 23.54
3(x+5) each side is x+5 so times that by 3. Distribute the 3 to both the x and the 5 to get 3x+15.
