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Please, give me some minutes to take over your question
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Rate = miles / time
8/t = 7/ 35
Dividing by 7
8/t = 7/ 35
8/ 7t = 1/ 35
Multiplying by t
8/7 = t/35
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Options
1) 8/t = 35/ 7 (False, t/8 = 35/ 7 )
2) t/8 = 7/ 35 (False, t/8 = 35/ 7 )
3) 8/7 = t/ 35 (TRUE)
4) 7/8 = t/35 (False, 8/7 = t/ 35 )
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Answer
3) 8/7 = t/ 35 (TRUE)
Answer:


Step-by-step explanation:
Given

Solving (a): Write as inverse function

Represent a(d) as y

Swap positions of d and y

Make y the subject


Replace y with a'(d)

Prove that a(d) and a'(d) are inverse functions
and 
To do this, we prove that:

Solving for 

Substitute
for d in 




Solving for: 

Substitute 5d - 3 for d in 

Add fractions



Hence:

Answer:
12
Step-by-step explanation:
Given:
On every 3 DVDs she rents, 1 DVD is received for free
Rent of each DVD = $3
Total amount paid = $114
Now,
The total number of DVDs she took on rent =
or
The total number of DVDs she took on rent =
or
The total number of DVDs she took on rent = 38
also,
For every 3 DVDs she gets 1 Free DVD
thus,
For every 1 DVD she gets
free DVD
therefore,
For 38 DVD she gets
free DVD
or
she gets 12.67 DVDs free
Since,
the DVDs cannot be given in fraction
Hence she will get 12 free DVDs