Cameron's current service charge of $0.95 per song, and the new service charge of $0.89 per song and $12 fee for joining, gives;
- Formula for finding the number of songs that makes the cost of both services the same is; 0.95•s = 12 + 0.89•s
- Computing the value of <em>s </em>that satisfies the above equation gives the number of songs at which the cost of both service is the same as 200 songs
- The interpretation is the the cost of either service is the same when 200 songs are downloaded
<h3>How can the equation that gives the required number of songs be found?</h3>
To Formulate
The charges for songs on the current music service is, C1 = 0.95•s
The charges for the new download service is, C2 = 12 + 0.89•s
Where the $12 is the joining fee
When the cost is the same for both service, we have;
C1 = C2
Which gives;
The equation to represent when the cost for both service is the same is therefore;
0.95•s = 12 + 0.89•s
Computing;
The number of songs that gives the same costs is therefore;
0.95•s = 12 + 0.89•s
12 = 0.95•s - 0.89•s = 0.06•s
s = 12 ÷ 0.06 = 200
- The number of songs at which the cost of each option will be the same is <em>s </em>= 200 songs
Interpreting the solution;
The interpretation is, the cost of songs downloaded on both service will be the same, when 200 songs are downloaded.
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Answer:
5
Step-by-step explanation:
let the number written on the board be x.
1st student's number= x +23
2nd student's number= x -1
<em>1</em><em>st</em><em> </em><em>student</em><em>'</em><em>s</em><em> </em><em>number</em><em>=</em><em> </em><em>7</em><em>(</em><em>t</em><em>h</em><em>a</em><em>t</em><em> </em><em>o</em><em>f</em><em> </em><em>the</em><em> </em><em>2nd</em><em> </em><em>student</em><em>)</em><em>,</em>
x +23= 7(x -1)
x +23= 7x -7 <em>(</em><em>expand</em><em>)</em>
7x -x= 23 +7 <em>(</em><em>bring</em><em> </em><em>constant</em><em> </em><em>to</em><em> </em><em>1</em><em> </em><em>side</em><em>)</em>
6x= 30 <em>(</em><em>simplify</em><em>)</em>
x= 30 ÷6 (÷6 on both sides)
x= 5
Thus, the number written on the board is 5.
The answer is: 40
Step by step explanation:
