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)]
7 answers
I will be happy to critique your work or thinking.
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. ?
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. ?
a. correct
b. correct
c. correct
3, show that one side has the negative reciprocal of one other side.
b. correct
c. correct
3, show that one side has the negative reciprocal of one other side.
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?
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?
Is my answer correct?
yes, correct.
Thank you!