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 $600
3 $720
6 $840
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)

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

answer: a. 13/44

step-by-step explanation: judging by the information given to us, we are looking for experimental probability. we can see that 13 males have chosen chocolate ice cream. there are 44 ice creams in total (remember that the total is always the denominator). so our answer is 13/44.

the answer is:

the correct option:

b.

to solve the problem, we need to remember how to operate to simplify exponential expressions using the logarithms.

we are given the equation:

then, using placing logarith with base 7 on both sides of the equation, we have:

so, rounding the obtained result to two decimal places (nearest hundreth), we have:

hence, we have that the correct option:

b.

have a nice day!