This is a linear relationship. The slope-intercept form of the linear equation is:
Where,
- m is the rate of change (positive if increasing rate and negative if decreasing rate)
- c is the y intercept, or the initial value
<u><em>Rate of change is 2.5 quarts per minute (it is decreasing so m is -2.5)</em></u>
<u><em>Initial value is 50 quarts, so c is 50.</em></u>
Plugging in the values we get 
.
Changing variables to w instead of y and t instead of x, gives us,
. Where w is warts of water left in the tub and t is the time in minutes.
There is no viable solution when t=30 because at t=20, w=0 (
). It means after 20 minutes, there is no water left. So t=30 minutes doesn't make sense.
ANSWER:
Modelling equation:
When 
, there is no VIABLE solution
Answer:
A.) 65x + 35X + 50 = 250
65x = cost of concrete per cubic yard, x is yd³
35X = cost of pouring/finishing concrete per cubic yard, X is yd³
50 = delivery cost
250 = the money you have
B.) 400 + 15n = 505
15n = amount of money you deposite per week, n is # of week
400 = some money in account after n week passed
505 = initial money in bank
C.) 1.1X - 10 = 55
55 = total cost of clothes
1.1X = tax rate where X is the undiscounted clothe cost
10 = discount
Distribute The 4 In Problem Number 2. (4*2.5X)+(4*1.25) = 77
Simplify. 10X+5 = 77. Now, Subtract 5 From Both Sides.
10X = 77-5
10X = 72.
Now, Divide.
X = 72/10.
X = 7.2.
For 13, We Have This:
3/5p+2/3 = 8.
Now, Subtract 2/3.
3/5p = 7 1/3
Now, Divide.
7 1/3 Needs To Be Converted To An Improper Fraction.
It Becomes 22/3.
22 5 110
--- * --- = ----
3 3 9
Now, Make Into A Proper Fraction.
It Becomes 12 And 2/9.
Simplify for -5/8*2/3= -5/12
-0.416 as a mixed number
Answer:
x = 32
Step-by-step explanation:
Given the following data;
Unknown number = x
Translating the word problem into an algebraic equation, we have;
Lowest common denominator (LCD) = 2
We multiply all through by 2;
x = 32
Therefore, the unknown number is 32.
