PLS HELP WILL GIVE BRAINLIEST IF CORRECT
2 answers:
Answer:
Step-by-step explanation:
If we take the 520 signatures Jeremiah already has, and add six times the number of signatures he needs each week, we know he'll end up with the 1,000 signatures he needs. Therefore, the second choice matches our word model:
If Jeremiah needs to collect 1,000 signatures and he currently has 520, he needs to collect 480 more [1,000 – 520 = 480]. If he has six weeks to do it, he needs to collect 80 signatures each week [480 ÷ 6 = 80].
Mathematically, we know
is correct because if you take the 80 signatures each week and substitute it for <em>x</em> in the model, the equation is true:
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Given:
f(x) is an exponential function.
To find:
The value of f(6.5).
Solution:
Let the exponential function is
...(i)
Where, a is the initial value and b is the growth factor.
We have, . So, put x=-3.5 and f(x)=25 in (i).
...(ii)
We have, . So, put x=6 and f(x)=33 in (i).
...(iii)
On dividing (iii) by (ii), we get
Putting b=1.03 in (iii), we get
Putting a=27.63 and b=1.03 in (i), we get
Therefore, the required exponential function is .