The exponential function is 
Step-by-step explanation:
The exponential function in the form of 
First find the value of a and b if x=0 and y=19
Find the value of b in 
where x=6,y=1216 and a=19
![1216=19b^6\\\\\\1216/19=b^6\\\\\\64=b^6\\\\\sqrt[6]{64} =b\\\\2=b](https://tex.z-dn.net/?f=1216%3D19b%5E6%5C%5C%5C%5C%5C%5C1216%2F19%3Db%5E6%5C%5C%5C%5C%5C%5C64%3Db%5E6%5C%5C%5C%5C%5Csqrt%5B6%5D%7B64%7D%20%3Db%5C%5C%5C%5C2%3Db)
The function is
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Complete Question
An arts academy requires there to be 6 teachers for every 132 students and 4 tutors for every 44 students. How many students does the academy have per teacher? Per tutor? How many tutors does the academy need if it has 132 students?
Answer:
a)How many students does the academy have per teacher?
22 students per teacher
b) Per tutor?
11 students per tutor
c) How many tutors does the academy need if it has 132 students?
12 tutors
Step-by-step explanation:
a)How many students does the academy have per teacher?
6 teachers = 132 students
1 teacher = x
6 × x = 132 × 1
x = 132 × 1/6
x = 22 students
Hence, we have 22 students per tutor
b) Per tutor?
4 tutors = 44 students
1 tutor = x students
Cross Multiply
4 × x = 1 × 44
x = 44/4
x = 11 students
Hence, we have 11 students per tutor
c) How many tutors does the academy need if it has 132 students?
44 students = 4 tutors
132 students = x tutors
Cross Multiply
44 × x = 132 × 4
44x = 132 × 4
x = 132 × 4/44
x = 12 tutors
The academy needs 12 tutors if they have 132 students.
Answer:
t=15.74
Step-by-step explanation:
Take ln on both sides
move the exponent 12t before ln as per log property
now divide the ln on both sides to make 12t alone
divide both sides on both sides
t=15.74
X(domain) = 2
y (range)= -4
No. Convert to decimals and its easier to compare. 0.375= 1/3 vs 0.50= 1/2
