<h3>Answer: Choice D</h3>
4x - 3y = 15
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Explanation:
The two points (-1,-1) and (2,3) are marked on the line
Let's find the slope of the line through those two points.
The slope is 4/3 meaning we go up 4 and to the right 3.
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Parallel lines have equal slopes, but different y intercepts. We'll need to see which of the four answer choices have a slope of 4/3.
Solve the equation in choice A for y. The goal is to get it into y = mx+b form so we can determine the slope m.
Equation A has a slope of -3/4 and not 4/3 like we want.
Therefore, this answer choice is crossed off the list.
Follow similar steps for choices B through D. I'll show the slopes of each so you can check your work.
- slope of equation B is 3/4
- slope of equation C is -4/3
- slope of equation D is 4/3
We have a match with equation D. Therefore, the equation 4x-3y = 15 is parallel to the given line shown in the graph.
You can use graphing tools like Desmos or GeoGebra to confirm the answer.
Answer:
18lbs of Mexican Shade Grown coffee
Step-by-step explanation:
Since this is a ratio problem and we are given three values and one variable x (pounds of Mexican Shade Grown coffee needed) we can use the Rule of Three to solve this problem. In this rule we simply multiply the diagonal available values and divide by the third value to get the value of the variable, like so...
90lbs Gazebo <=====> 27lbs Mexican Blend
60lbs Gazebo <=====> x lbs Mexican Blend
(60 * 27) / 90 = x
1620 / 90 = x
18 lbs = x
We need 18lbs of Mexican Shade Grown coffee blend to mix with the 60lbs of Gazebo blend
For this case the first thing we must observe is that the mass increases 0.4 grams when the diameter increases 1 millimeter.
Therefore, the slope of the line is given by:
m = 0.4
Thus, the function that best suits the table is given by:
f (x) = -4 + 0.4x
For example, for x = 20 we have:
f (20) = -4 + 0.4 (20)
f (20) = -4 + 8
f (20) = 4
The result, matches the table.
Answer:
The function that is best represented by the scatter plot is:
f (x) = -4 + 0.4x
