Six people mert for breakfast and each person orders a meal costing $8.if the sale tax is 7% what is the cost for the group
1 answer:
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Answer:
Step-by-step explanation:
See the figure below.
This is how you graph directly from the equation in the slope-intercept form (y = mx + b) without having to create a table of x and y values.
The equation is
y = -2/3 x + 1
Compare it with
y = mx + b
b = 1
The y-intercept is 1, so mark 1 on the y-axis. (You already did.)
I placed a black dot there.
The slope is m.
m = -2/3
slope = m = rise/run
A slope of -2/3 can be though of as -2 rise and 3 run. That means start from the y-intercept, and go -2 in y (a rise of 2 down) and 3 in x (a run 3 right). Point graphed in red.
Mathematically, -2/3 is the same as 2/(-3), so starting again from the y-intercept, this slope can also be though of as rise of 2 in y (a rise of 2 up) and a run of -3 in x (a run of 3 left). Point graphed in green.
The line is graphed in blue.
Answer:
<em>Graph below</em>
Step-by-step explanation:
<u>Graph of a Function</u>
We are given the function
y = f(x) = -4/3x + 8
Since this is the equation of a line, we only need two points to draw the graph, but we'll calculate some points more.
Select values for x={-3, 0, 3, 6, 9}
For x=-3:
y = -4/3(-3) + 8 = 4 + 8 = 12
Point (-3,12)
For x=0:
y = -4/3(0) + 8 = 0 + 8 = 8
Point (0,8)
For x=3:
y = -4/3(3) + 8 = -4 + 8 = 4
Point (3,4)
For x=6:
y = -4/3(6) + 8 = -8 + 8 = 0
Point (6,0)
For x=9:
y = -4/3(9) + 8 = -12 + 8 = -4
Point (9,-4)
Now plot the points in a rectangular grid and join them. The graph is shown below.
