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A party store sells tablecloths for $\$1$ each, $5$ for $\$5$ , or $10$ for $\$8$ . Is the relationship between the number of tablecloths purchased and total cost a linear relationship? $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no $\newline$ Now, justify your answer. $\newline$ Choices: $\newline$ (A)Tablecloths cost a constant amount, $\$1$ each. $\newline$ (B)The three money amounts don't increase by a constant amount. $\newline$ (C)The three quantities of tablecloths don't increase by a constant amount. $\newline$ (D)The cost per tablecloth can vary, depending on how many you buy.

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Evaluate two-variable equations: word problems

Full solution

Q. A party store sells tablecloths for

\$1

each,

5

for

\$5

, or

10

for

\$8

. Is the relationship between the number of tablecloths purchased and total cost a linear relationship?

\newline

Choices:

\newline

(A)yes

\newline

(B)no

\newline

Now, justify your answer.

\newline

Choices:

\newline

(A)Tablecloths cost a constant amount,

\$1

each.

\newline

(B)The three money amounts don't increase by a constant amount.

\newline

(C)The three quantities of tablecloths don't increase by a constant amount.

\newline

(D)The cost per tablecloth can vary, depending on how many you buy.

Analyze Cost per Tablecloth: Step $1$ : Analyze the cost per tablecloth for each purchasing option.
Determine Cost Consistency: Step $2$ : Determine if the cost per tablecloth is constant.
Conclude Linear Relationship: Step $3$ : Conclude if the relationship is linear.

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