the points on the graph show how much chee pays for different amounts of noodles. the graph shows (2, 5) (4, 10) (6, 15) and
(8, 20)
This graph represents a linear relationship between the amount of noodles and the amount Chee pays for them. The slope of the line is the rate at which the price increases per unit of noodles. In this case, the slope is:
slope = change in y / change in x = (20-5) / (8-2) = 15/6 = 2.5
This means that for every additional unit of noodles, Chee pays $2.50 more.
The equation of the line can be found using the slope-intercept form:
y = mx + b
where m is the slope and b is the y-intercept (the value of y when x=0). In this case, we can use the point (2,5) to find the y-intercept:
5 = 2.5(2) + b
b = 0
So the equation of the line is:
y = 2.5x
This equation can be used to find the cost of any amount of noodles that Chee wants to buy. For example, if Chee wants to buy 5 units of noodles, she would pay:
y = 2.5(5) = $12.50
complete the statement about the graph. the ordered pair (?, ?) represents the cost of 6 pounds of noodles
The ordered pair (6, 15) represents the cost of 6 pounds of noodles on the graph.
are you 100% sure?
Yes, I am 100% sure. The ordered pair (6, 15) is given in the list of points on the graph provided in the initial question, and the point is clearly visible on the graph. The x-coordinate of 6 corresponds to 6 pounds of noodles, and the y-coordinate of 15 represents the cost of buying 6 pounds of noodles.
which ordered pair shows an equivalent ratio of pounds to dollars? (12, 30) (30, 12) (14, 40) or (25, 10)
To find an equivalent ratio of pounds to dollars, we need to divide the amount of dollars by the amount of pounds. Let's check each of the ordered pairs given:
- For (12, 30), the ratio of dollars to pounds is 30/12 = 2.5.
- For (30, 12), the ratio of dollars to pounds is 12/30 = 0.4.
- For (14, 40), the ratio of dollars to pounds is 40/14 ≈ 2.857.
- For (25, 10), the ratio of dollars to pounds is 10/25 = 0.4.
So, the ordered pair that shows an equivalent ratio of pounds to dollars is (30, 12) which has a ratio of 0.4, just like (25, 10).