The recipe for Jack's Famous Chili uses 222 teaspoons (\text{t})(t)left parenthesis, t, right parenthesis of red hot chili powder for each cup (\text{c})(c)left parenthesis, c, right parenthesis of tomato sauce.His rival, Marsha, claims her chili is spicier. She makes chili in large quantities, and uses the chart below.
Whose chili is spicier?
Chili powder (\text{t})(t)left parenthesis, t, right parenthesis Tomato sauce (\text{c})(c)left parenthesis, c, right parenthesis
444 3.53.53, point, 5
888 7.07.07, point, 0
121212 10.510.510, point, 5
Choose 1 answer:
Choose 1 answer:

(Choice A)
A
Jack's

(Choice B)
B
Marsha's

(Choice C)
C
They are equally spicy.

Answers

Answer 1
Answer: Jacks!!!!!!!! Would be correct!!!!
Answer 2
Answer:

Final answer:

The spiciness of chili is determined by comparing the proportion of chili powder to tomato sauce. Jack consistently uses 222 teaspoons of chili powder per cup of sauce, whereas Marsha's ratio varies, but never exceeds 126.86 teaspoons per cup. Therefore, Jack's chili is spicier.

Explanation:

To determine whose chili is spicier, we must compare the ratio of chili powder to tomato sauce used by Jack and Marsha. Jack uses 222 teaspoons of chili powder for every 1 cup of tomato sauce. For Marsha, we'll have to establish the ratios based on her table.

  • When Marsha uses 444 teaspoons of chili powder, she uses 3.5 cups of tomato sauce. So, her ratio for this batch is 444/3.5 = 126.86 teaspoons of chili powder per cup of sauce.
  • When Marsha uses 888 teaspoons her ratio is 888/7 = 126.86 teaspoons per cup.
  • When she uses 1212 teaspoons, her ratio is 1212/10.5 = 115.43 teaspoons per cup.

Regardless of the quantity she makes, Marsha's ratio never goes below 115.43, which is less than Jack's ratio of 222. So, Jack's chili is spicier than Marsha's.

Learn more about Ratio Comparison here:

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Answers

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