Angelique makes beaded jewelry. The graph below shows the number of beads used for varying cord lengths.

Question

Jewelry
A graph has cord length (inches) on the x-axis and number of beads on the y-axis. A trend line has a regression equation of y = 2.52 x + 1.61.

Angelique has a cord that is 32 inches long. Based on the information above, which is the best estimate for the number of beads she can use?
12
68
82
132

Answer 1

To estimate the number of beads Angelique can use for a 32-inch cord, we can use the regression equation provided, which is:

\[ y = 2.52x + 1.61 \]

Where:

• \( y \) is the number of beads,
• \( x \) is the cord length in inches.

Substituting \( x = 32 \) into the equation:

\[ y = 2.52(32) + 1.61 \]

Now, let's calculate it step by step:

1. Calculate \( 2.52 \times 32 \):

\[ 2.52 \times 32 = 80.64 \]

2. Add 1.61 to that result:

\[ 80.64 + 1.61 = 82.25 \]

Since we're estimating the number of beads, we can round this value to the nearest whole number, which gives us 82.

Thus, the best estimate for the number of beads she can use for a 32-inch cord is 82.