A worker can complete a piece of work in 30 days working 10
2 answers:
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x = 3/2
Step-by-step explanation:
Given equation is:
As we have to solve for x, x will be isolated on one side of the equation
So,
<u>1. Addition property of equality </u>
4x will be added on both sides
<u>2. Division property of Equality</u>
Dividing both sides by 6
Hence,
x = 3/2
Keywords: Linear equation, Variables
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Answer:
The left end approaches to + Infinite being an exponential function, and the right end to 0
Step-by-step explanation:
we have to remember the exponential function, the best way to find the answer is plotting the graph or arranging a table of values.
As you can see in the attached graph the y axis gets closer and closer to 0 as it moves forward in the x axis, and as it moves to the left the y axis starts increasing rapidly.
Also you got to keep in mind the way that functions behave in terms of the sign of its variable. for example the 10 in this equation only makes the curve to get wider, but if you change the sign to minus, the answer would be different.
<u>Part (a)</u>
The variable y is the dependent variable and the variable x is the independent variable.
<u>Part (b)</u>
The cost of one ticket is $1.25. Therefore, the cost of 25 tickets will be: .
Now, we know that Johnny spent his money only on ride tickets and fair admission and that he spent a total of $43.75.
Therefore, the price of the fair admission is: $43.75-$31.25=$12.5
If we use y to represent the total cost and x to represent the number of ride tickets, the linear equation that can be used to determine the cost for anyone who only pays for ride tickets and fair admission can be written as:
......Equation 1
<u>Part (c)</u>
The above equation is logical because, in general, the total cost of the rides will depend upon the number of ride tickets bought and that will be 1.25x. Now, even if one does not take any rides, that is when x=0, they still will have to pay for the fair admission, and thus their total cost, y=$12.5.
Likewise, any "additional" cost will depend upon the number of ride tickets bought as already suggested. Thus, the total cost will be the sum of the total ride ticket cost and the fixed fair admission cost. Thus, the above Equation 1 is the correct representative linear equation of the question given.