Q58. - Algebra 1

Question

Cuties is having a sale on earring.

1. Make a table that shows the cost of buying 1 to 5 pairs of earrings.
2. Write the data as a set of ordered pairs.
3. Graph the data.

Step-by-Step Solution

Answer

a. The table is:

Pairs of earrings	Total costs ($)
1	29
2	58
3	58
4	87
5	116

b. The data set are: $\left(1,29\right),\left(2,58\right),\left(3,58\right),\left(4,87\right),\left(5,116\right)$.

Part a. Step 1. Given information.

In sale, cost of earring of each pair is $29.00 and also buy 2 pairs get 1 pair free.

Part a. Step 2. Write the concept.

If the cost of 1 pair of earring is $29.00. Then cost of 2 pairs of earring is $2\times 29=\$58$.

 

Cost of 3 pairs of earring $=\$58$, because buy 2 pairs get 1 pair free.

 

Cost of 4 pairs of earring:

$\$29+\$58=\$87$

 

Cost of 5 pairs of earring:

$$\begin{gathered} 2\times \$29+\$58=\$58+\$58 \\ =\$116 \end{gathered}$$

Part a. Step 3. Make a table.

Therefore, the table that shows the cost of buying 1 to 5 pairs of earrings is as follows:

Pairs of earrings	Total costs ($)
1	29
2	58
3	58
4	87
5	116

 

Part b. Step 1. Given information.

In sale, cost of earring of each pair is $29.00 and also buy 2 pairs get 1 pair free.

Part b. Step 2. Write the concept.

Data set of the variable x and y can be written as a pair of x and y.

That is,

$\left(x,y\right)$

Part b. Step 3. Make a table.

Recall that, the table that shows the cost of buying 1 to 5 pairs of earrings is as follows:

Pairs of earrings	Total costs ($)
1	29
2	58
3	58
4	87
5	116

 

From the above table, data sets are:

$\left(1,29\right),\left(2,58\right),\left(3,58\right),\left(4,87\right),\left(5,116\right)$

Part c. Step 1. Given information.

In sale, cost of earring of each pair is $29.00 and also buy 2 pairs get 1 pair free.

Part c. Step 2. Graph the data set.

The table that shows the cost of buying 1 to 5 pairs of earrings is as follows:

Pairs of earrings	Total costs ($)
1	29
2	58
3	58
4	87
5	116

 

Sketch the graph of the data set is in below.