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3 years ago

Pls help will give brainliest and pls give explanation

Mathematics

1 answer:

Zielflug [23.3K]3 years ago

8 0

Answer:

-4, 2, 8, 14, 20

Step-by-step explanation:

The rule is called a "position to term" rule. That means the word "position" is being used to identify the location of a term in the sequence. The first term is in position 1, for example. Using the rule that the position is multiplied by 6, then 10 is subtracted, we find the terms to be as follows.

In position 1, the term is ...

1×6 -10 = -4

In position 2, the term is ...

2×6 -10 = 2

In position 3, the term is ...

3×6 -10 = 8

In position 4, the term is ...

4×6 -10 = 14

In position 5, the term is ...

5×6 -10 = 20

The first 5 terms are -4, 2, 8, 14, 20.

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Kelko will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $57 and cost an add

Delicious77 [7]

Questions (contd)

(a) For what amount of driving do the two plans cost the same?

(b) What is the cost when the two plans cost the same?

Answer:

(a) 100 miles

(b) $65

Step-by-step explanation:

Given

Plan 1:

$Initial\ Fee = \$57$

$Additional = \$0.08$ per mile

Plan 2:

$Initial\ Fee = \$50$

$Additional = \$0.10$ per mile

Solving (a): Number of miles when both plans are equal

Represent the distance with x and the cost with y

So:

Plan 1:

$y = 57 + 0.08 * x$

Plan 2:

$y = 50 + 0.10 * x$

To solve (a), we equate both plans together; i.e.

$y = y$

$57 + 0.08x = 50 + 0.10x$

Collect Like Terms

$0.08x - 0.10x= 50 - 57$

$-0.02x= -2$

Solve for x

$x = -2/-0.02$

$x = 100$

Hence, 100 mile would cost both plans the same

Solving (b): Cost when both plans are the same:

In this case, we simply substitute 100 for x in any of the y equation.

$y = 57 + 0.08 * x$

$y = 57 + 0.08 * 100$

$y = 57 + 8$

$y = 65$

<em>Hence, the amount is $65</em>

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3 years ago

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katen-ka-za [31]

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Doss [256]

Answer:

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Step-by-step explanation:

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2 years ago

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