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bartam833oz4qy6
03.01.2022 •
Mathematics
The table of values represents a linear function g(x), where x is the number of days that have passed and g(x) is the balance in the bank
account:
x g(x)
0 5600
3 5720
6 5840
Part A: Find and interpret the slope of the function (3 points)
Part B: Write the equation of the line in point-slope, slope-intercept, and standard forms (3 points)
Part C Write the equation of the line using function notation. (2 points)
Part D: What is the balance in the bank account after 7 days? (2 points)
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Ответ:
A. 4
B. Point-slope: y - 5600 = 40(x-0)
Slope-intercept: y = 40x +5600
Standard: y - 40x = 5600
C. g(x) = 40x + 5600
D. 5880
Step-by-step explanation:
Part A
m = (y2-y1)/(x2-x1)
m = (5720-5600)/(3-0)
m = (120)/(3)
m = 40
Part B
Point-slope: y - 5600 = 40(x-0)
Slope-intercept: y = 40x +5600
Standard: y - 40x = 5600
Part C
g(x) = 40x + 5600
Part D
g(x) = 40(7) + 5600
g(x) = 280 + 5600 = 5880
Ответ: