carvarceuanmoss
10.11.2020 •
Mathematics
Kelsey graphed the equation y = 3x + 1 as shown below.
On a coordinate plane, a line goes through points (negative 3, 0) and (0, 3).
Which describes Kelsey’s error?
Kelsey graphed the y-intercept on the x-axis.
Kelsey graphed the , y, -intercept on the , x, -axis.
Kelsey graphed –3 instead of 3 as the y-intercept.
Kelsey graphed –3 instead of 3 as the , y, -intercept.
Kelsey graphed the slope as up 1 right 1 instead of up 1 left 1.
Kelsey graphed the slope as up 1 right 1 instead of up 1 left 1.
Kelsey graphed the slope as the y-intercept and the y-intercept as the slope.
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Ответ:
D. Kelsey graphed the slope as the y-intercept and the y-intercept as the slope.
Step-by-step explanation:
The equation to graph was : y= 3x + 1 where the slope is 3 and the y-intercept is 1
However, Kelsey graph line passes through points (-3, 0)and (0, 3).From these points the equation of the line is;
m=Δy/Δx where
m=the slope of the graph
Δy= 3-0 =3
Δx= 0--3 =3
m=3/3 = 1
The equation of the line should be;
m=Δy/Δx
1=y-3/x-0
1x= y-3
3+1x= y
y= 1x + 3 ----------where the slope is 1 and y-intercept is 3
So you can see here that in the original equation, the slope m is 3 and y-intercept is 1 as shown in the first attached graph.
While in the Kelsey's graph, the slope is 1 and the y-intercept is 3 as in the second attached graph.
Thus, the correct answer is D : Kelsey graphed the slope,3 as the y-intercept and the y-intercept,1, as the slope.
Answer choice A is incorrect because Kelsey didnot graph the y-intercept, 1 on the x-axis but graphed point (-3,0) on the x-axis.
Answer choice B is incorrect because on Kelsey's equation the y-intercept is 3 and not -3. i.e. y=1x + 3
Answer choice C is incorrect because Kelsey graphed the slope as up 1 right 1 which is okay per the equation , y=1x+3.However, this incorrect because the correct graph has a slope of 3.
Ответ:
2nd Option is correct.
Step-by-step explanation:
Given:
Renata has $20 in gift card.
She bought 16 songs.
After purchase Balance in gift card = $0
⇒ Cost of 16 songs = $20
⇒ Cost of 1 song = 20/16 = $ 1.25
let x represent number of songs purchased and y represent balance on her gift card.
So, Cost of x songs = 1.25 × x = 1.25x
And Balance = 20 - 1.25 x
Thus, Required equation representing relationship between balance on gift card and number of song purchased.
y = 20 - 1.25x
1.25x + y = 20
If we multiply both sides of equation with 4, we get
5x + 4y = 80
Therefore, 2nd Option is correct.