The value of the _____ determines whether the graph of an exponential function increases or decreases from left to right.
2 answers:
Answer:
The missing expression is 'b'.
Step-by-step explanation:
We have been given an incomplete sentence. We are supposed to fill in the given blank.
Sentence:
The value of the _____ determines whether the graph of an exponential function increases or decreases from left to right.
We know that an exponential function is in form , where,
a = Initial value,
b = For growth and for decay
.
Therefore, the value of 'b' determines whether the graph of an exponential function increases or decreases from left to right.
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Average reading score is given by the expression,
y = 0.153x + 255.4
Here, x in the number of years past 1970.
To find the year in which the average reading score is 259.378, substitute the value of 'y' in the given expression.
y = 0.153x + 255.4
259.378 = 0.153(x) + 255.4
0.153x = 259.378 - 255.4
0.153x = 3.978
x =
x = 26
That means given average reading score 259.378 will be 26 years after 1970.
Therefore, 1996 is the year in which the average reading score will be 259.378.
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