Step-by-step explanation:
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Simple Interest = Principal * Interest Rate * Term
Total Amount = Principal + Simple Interest
<span>
<span>
</span><span><span>
# Principal Interest rate term Interest Total balance
</span><span> 1
<span> 100.00 </span>6% 1
<span> 6.00 </span>
<span> 106.00
</span></span><span> 3
<span> 100.00 </span>6% 2
<span> 12.00 </span>
<span> 112.00
</span></span><span> 5
<span> 100.00 </span>6% 3
<span> 18.00 </span>
<span> 118.00
</span></span><span> 7
<span> 100.00 </span>6% 4
<span> 24.00 </span>
<span> 124.00
</span></span><span> 9
<span> 3,000.00 </span>5% 3
<span> 450.00 </span>
<span> 3,450.00
</span></span><span>10
<span> 4,000.00 </span>6% 3
<span> 720.00 </span>
<span> 4,720.00
</span></span><span>11
<span> 10,000.00 </span>4% 3
<span> 1,200.00 </span>
<span> 11,200.00
</span></span><span>13
<span> 10,000.00 </span>6% 4
<span> 2,400.00 </span>
<span> 12,400.00
</span></span><span>14
<span> 10,000.00 </span>6% 5
<span> 3,000.00 </span>
<span> 13,000.00 </span>
</span></span></span>
Given:
The cost of each carnival ticket is $5.
To find:
The equation, table of values and graph for the given problem.
Solution:
Let x be the number of tickets and y be the total money spent on tickets.
Cost of one ticket = $5
Cost of x tickets = $5x
So, total cost is

The required equation is
.
At x=1,


At x=2,


At x=3,


The required table of values is
x y
1 5
2 10
3 15
So, the required table of values is table A.
From the above table, it is clear that the graph passes through the point (1,5), (2,10) and (3,15). The graph B passes through these points.
So, the required graph is graph B.
Since the required answers are
, table A, graph B, therefore the correct option is B.
2(x-3)=7x-31
2x-6=7x-31
-7x -7x
----------------
-5x-6=-31
+6 +6
--------------
-5x=-25
Divide by -5
x=5
3x-2(x+5)=-3+18
15
3x-2(x+5)=15
3x-2x-10=15
x-10=15
+10 +10
--------------
x=25
Mica should have added 2 to 3 instead of 1