In order to select new board members, the French club held an election. 14 out of the 56 members of the French club voted in the
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The question is incomplete. Here is the complete question.
Part A
The value of a collectible toy is increasing exponentially. The two points on the graph show the toy's initial value and its value 3 weeks afterward.
Express the toy's value t, in dollars, as a function of time w in weeks after purchase.
Part B
Write an expression to represent the toy's value 10 days after purchase
Answer and Step-by-step explanation: An exponential function is of the form:
<u>Part</u> <u>A</u>
Translating to the question, the toy's value as a function of time is
To determine constants a and b, we use points given by graph.
First, (0,5) to find a:
a = 5
Now, (3,10) to determine b:
b = 1.26
The toy's value as a function of time in weeks is
<u>Part</u> <u>B</u>
Since, the function is in weeks:
1 week = 7 days
w weeks = 10 days
Replacing w:
Expression that represents toy's value after 10 days is .
Answer:
At 0.713 second the ball will hit the ground
Step-by-step explanation:
The height of an object t seconds after it is thrown from a height of h feet is modeled by the equation:
The ball is thrown from a point 6 feet above ground with an initial velocity, v, of 30 feet per second, equation becomes:
It is required to find the time when the ball hits the ground. At that point, h(t) =0.
So,
Above is a quadratic equation, the value of time is given by :
t = -0.526 s and t = 0.713 seconds
So, at 0.713 second the ball will hit the ground.