What is the next term in the sequence 58, 47, 36, 25, ...? –58 –8 14 69
2 answers:
Answer:
Option C. 14
Step-by-step explanation:
Given sequence is 58, 47, 36, 25.....
We have to find the next term of this sequence.
Firstly we have to check whether sequence is arithmetic or geometric.
For Arithmetic sequence....
Common difference = 47 - 58 = (-11)
= 36 - 47 = (-11)
= 25 - 36 = (-11)
Common difference is (-11) for every succeeding term, so sequence is an arithmetic sequence.
For geometric sequence
common ratio = 47÷58 ≠ 36÷47 ≠ 25÷36
So ratio is not equal which clearly tells that this sequence is not a geometric sequence.
Now next term of the arithmetic sequence will be given by the explicit formula
For 5th term will be
T(5) = 58 + (5 - 1)(-11) = 58 + (-11)4 = 58 - 44 = 14
Option C. 14 is the answer.
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The linear equation that can be used to calculate daily car rentals is f(x) = -20x + 320
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- Let the charge amount be y
- Let the amount per mile of the truck rent be x.
- If rent-An-SUV charges an $80 fee to rent a truck and $12 per mile, this can be expressed in coordinate form as (12, 80)
- Similarly, if another rental company charges a $150 fee to rent a truck and $8.50 per mile, this can also be written in a coordinate form as (8.50, 150)
The standard linear expression is given as f(x) = mx + b
- m is the rate of change
- b is the y- intercept
Get the rate of change;
Get the y-intercept;
80 = -20(12) + b
80 = -240 + b
b = 320
Get the required linear equation;
f(x) = mx + b
f(x) = -20x + 320
Hence the linear equation that can be used to calculate daily car rentals is f(x) = -20x + 320
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