Question:In the equation P = 2x + 7, P represents the price, in dollars, of tickets to a concert x hours after they go on sale. When will the price exceed $20.00?
1. Describe in words how the equation can be used to solve the problem.
2. Draw a graphical representation of the price equation, and illustrate how a solution could be found that way.
Answers
Let
P-------> the price in dollars of tickets
x------> the number of hours
we know that
-------> equation A
When will the price exceed $20.00?
Part 1) Describe in words how the equation can be used to solve the problem
Substitute the value of P equal to in the equation A and find the value of x
so
For
substitute in equation A
therefore
the answer Part 1) is
the price exceed when the time exceed
Part 2) Draw a graphical representation of the price equation, and illustrate how a solution could be found that way.
using a graphing tool
Draw the equation of the lines
the solution is the intersection both graphs
see the attached figure
the solution is the point
that means
for
2. This equation has the same format as an equation in slope intercept form. This makes it easy to graph.The y intercept will be 7 and the slope is 2. Using this information, it is easy to graph the equation and find a solution. The graph should look like the image I attached to this answer.
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Answers
Answers
= 1.666667 / 1
Numerator = 1.666667 × 10 × 10 × 10 × 10 × 10 × 10 = 1666667
Denominator= 1 × 10 × 10 × 10 × 10 × 10 × 10 = 1000000
⇅⇅⇅⇅⇅⇅⇅⇵⇵⇵⇵⇵⇵⇵⇵⇵⇵
= 1666667/1000000
= 1 666667/1000000
1666667/1000000
Answers
x x x x
x x x x
x x x x
x x x x
x x x x
Answers
Answers
Answer:
Bus = 16 Tourists and Taxi = 4 Tourists
Total = 20 Tourists
Step-by-step explanation:
According to the Question,
- Given, 80% of the tourists in a group took a bus and 20% took a taxi. Thus the Ratio of Tourists Travel by Bus toTaxi is 4x:1x.
- The bus fare per person is 40% less than the taxi fare per person. And Also Given that the bus fare per person is $3 Thus, The Taxi fare per person would be $5.
All together they paid $68 for the tour transportation.
- 4x × 3 + x × 5 = 68
- 12x × 5x = 68
- 17x =68
- x=4
And, the Ratio of Tourists Travels by Bus toTaxi is 4x:1x . So,the Tourists Travel by Bus to Taxi is 16 and 4 Respectively . Total = 20 Tourists are in the Group.
Answers
Step-by-step explanation:
The height attained by the toy as a function of time t is given by :
h is in feet and t is in seconds
Height of the toy at t = 0
Height of the toy at t = 4 seconds is :
So, between 0 to 4 seconds, height of the toy is 4 feets.
Final answer:
The toy's height after 0-4 seconds can be found by substituting different values of t into the given equation.
Explanation:
The equation given to model the toy's height is h = -2t^2 + 7t + 4, where h is the height in feet and t is the time in seconds. To find the height of the toy after 0-4 seconds, we substitute different values of t into the equation.
For t = 0, h = -2(0)^2 + 7(0) + 4 = 4 feet.
For t = 1, h = -2(1)^2 + 7(1) + 4 = 9 feet.
For t = 2, h = -2(2)^2 + 7(2) + 4 = 12 feet.
For t = 3, h = -2(3)^2 + 7(3) + 4 = 11 feet.
For t = 4, h = -2(4)^2 + 7(4) + 4 = 4 feet.
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