The value of a baseball card in dollars has been found to be 0.15y + 0.35, where y is the number of years since it was released. By how much is the baseball card's value increasing per year
A.
$0.15
B.
$0.35
C.
15%
D.
35%
The baseball card's value is given by the equation 0.15y + 0.35, where y is the number of years since it was released.
To find the rate at which the baseball card's value is increasing per year, we take the derivative of the equation with respect to y.
d/dy (0.15y + 0.35) = 0.15
Therefore, the baseball card's value is increasing by $0.15 per year.
The answer is option A. $0.15.
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Apologies for the misinformation in the previous response. Let's calculate the correct answer.
The baseball card's value is given by the equation 0.15y + 0.35, where y is the number of years since it was released.
To find the rate at which the baseball card's value is increasing per year, we take the derivative of the equation with respect to y.
d/dy (0.15y + 0.35) = 0.15
Therefore, the baseball card's value is increasing by 0.15 per year.
The answer is option A. $0.15.
Manipulate the equation y=5x-11 so that it is written in terms of x. Which equation is equivalent to y=5x-11?
A. x = (y/11) -5
B. x = y+11/5
C. y-11/5
D. x= (y/5) + 11
To manipulate the equation y = 5x - 11 so that it is written in terms of x, we will isolate x on one side.
To do so, we can rearrange the equation as follows:
y = 5x - 11
Adding 11 to both sides:
y + 11 = 5x
Next, dividing both sides by 5:
(y + 11)/5 = x
Therefore, the equation equivalent to y = 5x - 11, written in terms of x, is option B:
x = (y + 11)/5.
To find the rate at which the baseball card's value is increasing per year, we need to determine the coefficient of the variable y in the expression 0.15y + 0.35.
The coefficient of y is 0.15, which means that for each year since it was released, the value of the baseball card increases by $0.15.
Therefore, the correct answer is:
A. $0.15
To determine how much the baseball card's value is increasing per year, look at the coefficient of the variable y in the equation.
In this case, the coefficient is 0.15. This means that for each year that passes (each increase in y), the value of the baseball card increases by 0.15.
Therefore, the correct answer is:
A. $0.15