Question

1. At a chili cook-off, people pay a $3.00 entrance fee and $0.50 for each bowl of chili they taste. The graph shows the total cost per person as a function of the number of bowls of chili tasted.

a. Write a rule that gives the total cost per person as a function of the number of bowls of chili tasted.

b. Identify the slope and y-intercept and describe their meanings in this situation.

2. Show that PQRS is a rectangle. [(P: (1, 4); Q: (2, 6); R: (8, 3); S: (7, 1)]

3. Show that ABC is a right triangle. [(A: (-7, -2); B: (-3,-3); C: (-4, -7)]

Answer 1

I will be happy to critique your work or thinking.

Answer 2

1.
a. 0.50x + 3
b. The slope is 0.50, which represents the price for each bowl of chili they taste. The y-intercept is 3, which represents the cost of the entrance fee?

2. PQ = (6-4)/(2-1) = 2/1 = 2

QR = (3-6)/(8-2) = -3/6 = -1/2

RS = (1-3)/(7-8) = 2

PS = (1-4)/(7-1) = -3/6 = -1/2

The slopes of all of consecutive sides are negative reciprocals. Therefore, quadrilateral PQRS with 4 angles is a rectangle?

3. ?

Answer 3

a. correct
b. correct
c. correct
3, show that one side has the negative reciprocal of one other side.

Answer 4

3. AB = (-2(-3)/(-7(-3) = -1/4

BC = (-3(-7)/(-3(-4) = -4/1 = -4

The slopes of two of the consecutive sides are negative reciprocals. Therefore, ABC is a right triangle?

Answer 5

Is my answer correct?

Answer 6

yes, correct.

Answer 7

Thank you!