Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

3. use your graph to determine the % ethanol in your diluted unknown wi…

Question

  1. use your graph to determine the % ethanol in your diluted unknown wine sample and clearly indicate this value on your graph. show or explain below how you determined this value:

y = 1.35x + 0.0109
0.165 = 1.35x + 0.0109

Explanation:

Step1: Isolate the x term

Subtract 0.0109 from both sides.
$0.165 - 0.0109 = 1.35x$

Step2: Calculate left-hand side

Compute the subtraction result.
$0.1541 = 1.35x$

Step3: Solve for x

Divide both sides by 1.35.
$x = \frac{0.1541}{1.35}$

Step4: Compute final x value

Calculate the division result.
$x \approx 0.114$

Answer:

The % ethanol in the diluted unknown wine sample is approximately 11.4% (or $x \approx 0.114$ when expressed as a decimal proportion)