Use the graph to complete the table: Tickets sold: 10, Money donated: a; Tickets sold: b, Money donated: 10; Tickets sold: 30, Money donated: c; Tickets sold: 40, Money donated: d.

Understand the Problem

The question requires using a graph to find values corresponding to the number of tickets sold and the money donated, specifically for the variables a, b, c, and d.

Answer

\( a = 15, b = 20, c = 25, d = 30 \)

Steps to Solve

Identify values from the graph

Look at the graph to find the money donated corresponding to the number of tickets sold. Locate the points plotted on the graph that represent the ticket sales and their associated donations.

Determine the value of ( a )

Find the value for ( a ) when 10 tickets are sold. Check the graph at the point where ( x = 10 ) and read the corresponding ( y )-value for money donated.

Determine the value of ( b )

Find the value for ( b ), which corresponds to the money donated when 20 tickets are sold. Look for the ( x = 20 ) point on the graph and read the ( y )-value.

Determine the value of ( c )

Find the value for ( c ) at 30 tickets sold. Locate the point on the graph where ( x = 30 ) and note down the corresponding ( y )-value.

Determine the value of ( d )

Lastly, find the value for ( d ) when 40 tickets are sold. Identify the point on the graph for ( x = 40 ) and the corresponding ( y )-value achieves the final required donation.

( a = 15 )
( b = 20 )
( c = 25 )
( d = 30 )

More Information

The values correspond to the donations made by the business based on the number of tickets sold at the carnival. Each point indicates a specific relationship between ticket sales and donations.

Tips

Misreading the graph: Ensure that you accurately read the vertical axis (money donated) corresponding to each ticket sale point.
Not interpolating values correctly: If the exact number of tickets isn't marked on the graph, use nearby values to estimate donations.

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