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chaparro0512
29.01.2020 •
Mathematics
Math !
1. what function equation is represented by this graph?
a. f(x)=20(25)x
b. f(x)=20(35)x
c. f(x)=20(52)x
d. f(x)=20(53)x
2. what function equation is represented by this graph?
a. f(x)=40(1.5)x
b. f(x)=40(2.5)x
c. f(x)=40(2.25)x
d. f(x)=40(3.25)x
3.
the population of a city is 35,400. the population is expected to grow at a rate of 2% each year.
what function equation represents the population of the city after t years?
a. f(t)=35,400(0.02)t
b. f(t)=35,400(2)t
c. f(t)=35,400(1.2)t
d. f(t)=35,400(1.02)t
4. the ordered pairs model an exponential function, where p is the function name and t is the input variable.
{(12160)}{(1, 80), (2, 240), (3, 720), (4, 2160)}
what is the function equation in sequence notation?
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Ответ:
Below are the answers:
1. B. f(x)=20(35)x
2. C. f(x)=40(2.25)x
3. A. f(t)=35,400(0.02)t
4. First graph.
Ответ:
Explanation:
The equation shown for choice A is in the form p*(q*r) = (p*q)*r which is the general format for the associative property of multiplication.
In this case, p = 2.5, q = 1/5 and r = 2/3.
The order of p,q,r stays the same while the parenthesis shift around. The stuff in the parenthesis is done first before anything else. Though with multiplication, the order doesn't matter which is why we can freely shift the parenthesis like this.
Addition has a similar rule which says p+(q+r) = (p+q)+r.