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mixas84 [53]
3 years ago
11

1. The amount paid for different weights of oranges at a farmer’s market are shown below. Oranges (lb) Price ($) 2 3 3 4.50 5 7.

50 ? 12 (a) Is the relationship between the price and the weight of the oranges proportional? Use the first three rows of data to answer this question. Show your work and explain. How many pounds of oranges cost $12? Show your work.
due today.
Mathematics
1 answer:
torisob [31]3 years ago
8 0

Answer:

Relationship is proportional ;

8 oranges

Step-by-step explanation:

Oranges (lb) 2 ___ 3 ____5 ___?

Price ($) __ 3 ___4.50___7.50_12

For proportionality :

Oranges = k * price

Where, k = constant of proportionality

2 = 3k

k = 2 /3

k = 0.666666

Using k :

Number of oranges at price = 4.50 should be:

0.66666 * 4.50 = 3

Number of oranges at price = 7.50 should be:

0.66666 * 7.50 = 5

Hence, relationship is proportional

Number of oranges at $12

0.66666 * 12 = 8

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7 0
3 years ago
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The answer is 9 gallons.

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6 0
3 years ago
Read 2 more answers
A geometric sequence has a common ratio of 22 and the 12th12th term is −12,288.−12,288.
Lemur [1.5K]

Answer:

<h2>Tₙ = -3(2)ⁿ</h2>

Step-by-step explanation:

The explicit rule for determining the nth term of a geometric sequence is expressed as Tₙ = arⁿ⁻¹ where;

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r is the common ratio

n is the number of terms

If a geometric sequence has a common ratio of 2 and the 12th term is −12,288, then;

T₁₂ = ar¹²⁻¹

T₁₂ = ar¹¹

Given T₁₂ = -12,288 and r = 2, we can calculate the first term a

-12,288 = a2¹¹

a = -12,288/2¹¹

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Since the explicit rule for determining the nth term of a geometric sequence is expressed as Tₙ = arⁿ⁻¹, then for the sequence given, the explicit rule will be;

Tₙ = -6(2)ⁿ⁻¹

Tₙ = -6 * 2ⁿ * 2⁻¹

Tₙ = -6 * 2ⁿ * 1/2

Tₙ = -3(2)ⁿ

Hence the explicit rule that describes this sequence is Tₙ = -3(2)ⁿ

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3 years ago
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Answer:

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Step-by-step explanation:

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