Answer:
1. 32, 64, 128
2. 29, 35, 41
Step-by-step explanation:
Answer:
OB = 15
Step-by-step explanation:
If AT = 12 and KN = 18, then the middle must be half of each since its in the middle, 3 from 12 and 3 from 18 is 15.
9514 1404 393
Answer:
- A: j = 25 +55h
- B: m = 50 +30h
- 1 hour
Step-by-step explanation:
We're going to say Job A is the charge at Jim's shop. For h hours, that charge will be the sum of the parts cost and the hourly charge:
j = 25 +55h
Job B is the charge at Myron's shop. Similarly, that charge is ...
m = 50 +30h
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The two charges are equal when ...
j = m
25 +55h = 50 +30h
25h = 25 . . . . . . . . . . . subtract 25+30h from both sides of the equation
h = 1 . . . . . . . . . . divide by 25
The charges are the same at the two shops for 1 hour worked.
_____
<em>Additional comment</em>
You may be expected to write your equations using y for the charge and x for the hours. I like to use variable names that remind me what they stand for.
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In general, when you have rates that have different fixed fees and different per-quantity costs, the "break even" quantity is the ratio of the difference in fees to the difference in per-quantity costs. Here the parts (fees) differ by $25, and the per-hour cost differs by $25, so the number of hours is 25/25 = 1 to make the charges equal.
To solve this problem you must apply the proccedure shown below:
1. By definition, the rate of change of a linear function is the slope of the line and it is constant. Based on this, you must find the slope of the given function.
2. You have the equation of the line has the following form:
Where 
is the slope and 
is the y-intercept.
3. Then, you have that the slope of the function 
is:
Therefore, the answer is: 
