Suppose Gina can spend a maximum of $150 for fabric for her project. To the nearest tenth, how many yards of each type of fabric could she buy? Write your answer as an inequality. Show your work.

Suppose Gina can spend a maximum of 150 for fabric for her project To the nearest tenth how many yards of each type of fabric could she buy Write your answer as class=

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The length restrictions for each fabric are described by the following inequalities:

Batik

0 ≤ n ≤ 16.67 yd

Linen

0 ≤ n ≤ 18.75 yd

How to determine an inequation related to the quantity of yards bought

In this question we notice that the quantity of yards of fabric (n) is directly proportional to the cost (C). First, we should derive the formulae based on the information contained in tables:

Batik

C = 9 · n     (1)

Linen

C = 8 · n     (2)

Now we proceed to determine the maximum possible amount of fabric:

Batik

n = 150/9

n = 16.67 yd

Linen

n = 150/8

n = 18.75 yd

The length restrictions for each fabric are described by the following inequalities: (Please notice that length is a positive real variable)

Batik

0 ≤ n ≤ 16.67 yd

Linen

0 ≤ n ≤ 18.75 yd

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