ANSWER ASAP! BRAINLIEST, THANKS, 5 STAR!!!
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 1500
2 1350
4 1200
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 5 days? (2 points)
Answers
a) slope is the change in y over the change in x:
change in y = 840 - 600 = 240
change in x = 6-0 = 6
slope = 240 / 6
slope = 40
b) point slope form is written as y -y1 = m(x-x1)
m is the slope found in part a
point slope form = y - 600 = 40(x-0)
slope intercept form is written as y = mx +b
where m is the slope found in part a and b is the y intercept, which is the value of y when x is 0
slope intercept form = y = 40x+600
standard form is written as ax +by = c where a is the slope, b is the valoe of x in the y-intercept and cis the negative value of the y-intercept
standard form = 40x - y = -600
c) function notation changes the y to f(x) using the slope
intercept form y = 40x +600 change y to f(x):
f(x) = 40x +600
d) replace x with 7 and solve :
y = 40(7) +600 = 280 + 600
y = $880
Answer:
Answer from: dheydar9377
a) slope is the change in y over the change in x:
change in y = 840 - 600 = 240
change in x = 6-0 = 6
slope = 240 / 6
slope = 40
b) point slope form is written as y -y1 = m(x-x1)
m is the slope found in part a.
point slope form = y - 600 = 40(x-0)
slope intercept form is written as y = mx +b
where m is the slope found in part a and b is the y intercept, which is the value of y when x is 0
slope intercept form = y = 40x+600
standard form is written as ax +by = c where a is the slope, b is the valoe of x in the y-intercept and cis the negative value of the y-intercept
standard form = 40x - y = -600
c) function notation changes the y to f(x) using the slope intercept form y = 40x +600 change y to f(x):
f(x) = 40x +600
d) replace x with 7 and solve :
y = 40(7) +600 = 280 + 600 = $880