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Jamal is hosting a banquet to raise funds for charity. The goal of the fundraiser is to raise more than $\$9,200$ . Individual tickets cost $\$43$ and an entire table can be purchased for $\$840$ . $\newline$ Select the inequality in standard form that describes this situation. Use the given numbers and the following variables. $\newline$ $x =$ the number of individual tickets $\newline$ $y =$ the number of tables $\newline$ Choices: $\newline$ (A) 43x + 840y > 9,200 $\newline$ (B) 43x - 840y < 9,200 $\newline$ (C) 43x - 840y > 9,200 $\newline$ (D) 43x + 840y < 9,200

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Write a linear inequality: word problems

Full solution

Q. Jamal is hosting a banquet to raise funds for charity. The goal of the fundraiser is to raise more than

\$9,200

. Individual tickets cost

\$43

and an entire table can be purchased for

\$840

.

\newline

Select the inequality in standard form that describes this situation. Use the given numbers and the following variables.

\newline

x =

the number of individual tickets

\newline

y =

the number of tables

\newline

Choices:

\newline

(A)

43x + 840y > 9,200

\newline

(B)

43x - 840y < 9,200

\newline

(C)

43x - 840y > 9,200

\newline

(D)

43x + 840y < 9,200

Calculate ticket revenue: Determine the amount raised by selling one individual ticket. $\newline$ Amount raised by selling one individual ticket: $\$43$ $\newline$ Number of individual tickets sold: $x$ $\newline$ Total amount raised by selling individual tickets: $43 \times x = 43x$
Calculate table revenue: Determine the amount raised by selling one table. $\newline$ Amount raised by selling one table: $\$840$ $\newline$ Number of tables sold: $y$ $\newline$ Total amount raised by selling tables: $840 \times y = 840y$
Combine total funds raised: Combine the total amounts raised by individual tickets and tables to form an expression for the total funds raised. $\newline$ Total funds raised by selling individual tickets: $43x$ $\newline$ Total funds raised by selling tables: $840y$ $\newline$ Total funds raised: $43x + 840y$
Formulate fundraising goal inequality: Formulate the inequality that represents the goal of raising more than $\$9,200$ . The goal is to raise more than $\$9,200$ , so the total funds raised must be greater than $\$9,200$ . Inequality: 43x + 840y > 9,200

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