Question

practice what are the variables in each graph? describe how the variables are related at various points on the graph.
1.
2.
tables and graphs can both show relationships between variables. data from a table are often displayed using a graph to visually represent the relationship.
problem 2 matching a table and a graph
got it? the table shows the amount of sunscreen left in a can based on the number of times the sunscreen has been used. which graph could represent the data shown in the table?
sunscreen

Explanation:

Step1: Analyze the relationship in the table

As the number of uses increases by \(1\) (from \(0\) to \(1\), \(1\) to \(2\), \(2\) to \(3\)), the amount of sunscreen decreases by \(0.2\) oz (\(5 - 4.8=0.2\), \(4.8 - 4.6 = 0.2\), \(4.6-4.4 = 0.2\)). So, there is a linear relationship with a negative slope.

Step2: Analyze Graph A

In Graph A, as the number of uses increases, the amount of sunscreen decreases. The points \((0,5)\), \((1,4.8)\), \((2,4.6)\), \((3,4.4)\) follow the pattern of the table.

Step3: Analyze Graph B

In Graph B, the rate of decrease is not constant. For example, if we assume approximate coordinates of the points, the change between consecutive points (in terms of the relationship between number of uses and amount of sunscreen) does not match the constant - decrease of \(0.2\) oz per use.

Step4: Analyze Graph C

In Graph C, the amount of sunscreen does not decrease as the number of uses increases. It is a flat - line (constant - value) graph, which does not match the data in the table where the amount of sunscreen is decreasing.

Answer:

A.