Answer:
Explanation:
irst, let's find the slope (m) using two points from the table. You can choose any two points; I'll use (0, 75) and (8, 395):
m = (y2 - y1) / (x2 - x1)
m = (395 - 75) / (8 - 0)
m = 320 / 8
m = 40
Now that we have the slope (m), we can use the point-slope form of a linear equation to find the equation of the line. Let's use the point (0, 75):
y - y1 = m(x - x1)
y - 75 = 40(x - 0)
Simplify:
y - 75 = 40x
Now, add 75 to both sides of the equation to isolate y:
y = 40x + 75
So, the equation in slope-intercept form that represents the data in the table is:
y = 40x + 75
User
The table shows the cost of renting an inflatable bounce house, including the setup fee. Number of Hours, x Cost ($), y 0 75 2 155 4 235 6 315 8 395 Write an equation in slope-intercept form that represents the data in the table.
ChatGPT
To find the equation in slope-intercept form (y = mx + b) that represents the data in the table, we need to determine the slope (m) and the y-intercept (b).
First, let's find the slope (m) using two points from the table. You can choose any two points; I'll use (0, 75) and (2, 155):
m = (y2 - y1) / (x2 - x1)
m = (155 - 75) / (2 - 0)
m = 80 / 2
m = 40
Now that we have the slope (m), we can use the point-slope form of a linear equation to find the equation of the line. Let's use the point (0, 75):
y - y1 = m(x - x1)
y - 75 = 40(x - 0)
Simplify:
y - 75 = 40x
Now, add 75 to both sides of the equation to isolate y:
y = 40x + 75
So, the equation in slope-intercept form that represents the data in the table is:
y = 40x + 75
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