Answer:
Sally and Kent would have to each work a total of 15 hours to have the same amount of money in their checking account.
Step-by-step explanation:
Set up equations.
x = hours, T = total $
Sally:
T = 200 + 15x
Kent:
T = 245 + 12x
Set both equations equal to each other.
200 + 15x = 245 + 12x (subtract 200 from both sides)
15x = 45 + 12x (subtract 12x from both sides)
3x = 45 (divide both sides by 3)
x = 15
I believe <span>(4, –2) is correct :)</span>
The exponential function is given in the form
where a is the initial value and b is the multiplicative rate of change
So lets plug the first two values of the table in this function , we get
or
Now plug second
Divide equation 2 by equation 1
On simplifying we get
or
So the multiplicative rate of change of the function is
Part A: The discounted monthly fee is $22.49 (original cost of $29.99 multiplied by 75%, the amount the customer would pay since 25% is discounted.) Since you would also pay $44.99 for setup, your equation is $44.99+$22.49m
Part B: Add 1.08 (108%; the customer pays 100% of the cost plus 8% more for tax) to your equation for the sales tax. 1.08(44.99+22.49m)
Part C: Plug in 4 for m (m represents months).
1.08(44.99+22.49•4)
1.08(44.99+89.96)
1.08(134.95)
$145.75
Hope that helps. Let me know if you need more assistance :)
To get the x-intercept you put y=0
0=2x-8
2x=8 , x=4
the point is (4,0)
