Aisha and Carolina each sketch a graph of the linear equation
Aisha uses the equation y
sketch the graph, and Carolina uses the
equation y=-4*+2
a. Explain how this leads them to use different steps to construct their graphs.
b. Will the two graphs look the same? Explain
a. Choose the correct answer below.
O A. When they use the slope to plot the second point, Aisha moves down 3 units and right 4 units while Carolina goes up 3 units and left 4 units.
O B. Aisha identifies the y-intercept as - 3, and Carolina identifies the y-intercept as 3.
O c. When they use the slope to plot the second point, Aisha moves left 3 units and up 4 units while Carolina goes night 3 units and down 4 units.
O D. Aisha identifies the y-intercept as 4. and Carolina identifies the y-intercept as - 4.
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hello!

to begin with, we're given that on earth, a rock weighs 20 pounds, and while on jupiter, that same rock weighs 42 pounds. now, we're trying to find the weight of a rock that weighs 10.5 pounds on earth, on jupiter.

to solve this, first, set up a proportion, cross-multiply, and solve it algebraically.

setting up the proportion is the hardest and the most confusing part of the problem, but it's simple.

if on earth, the rock weighs 20 lbs, and on jupiter it weighs 42 lbs, our first part of our proportion is 20/42 lbs. the second part has to be equal to each other. this means that 10.5 has to be on the numerator of the fraction, and x, the value we're trying to find, has to be on the denominator. remember that the rock weighs 10.5 lbs on earth, and we're trying to find the weight of it on jupiter (which is x).

20/42 = 10.5/x

next, you would cross-multiply.

20x = 42(10.5)

20x = 441

now, solve it algebraically by using division.

x = 22.05 lbs

this can be rounded to 22.1 lbs.

therefore, the weight of the rock on jupiter is 22.1 lbs, the fourth choice.

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