Question
Angelique makes beaded jewelry. The graph below shows the number of beads on varying cord lengths.
Jewelry
A graph has cord length (inches) on the x-axis and number of beads on the y-axis. A line has a regression equation of y = 2.52 x + 1.61.
A necklace contains 88 beads. Based on the information above, which is the best estimate for the cord length?
21 inches
26 inches
34 inches
36 inches
Jewelry
A graph has cord length (inches) on the x-axis and number of beads on the y-axis. A line has a regression equation of y = 2.52 x + 1.61.
A necklace contains 88 beads. Based on the information above, which is the best estimate for the cord length?
21 inches
26 inches
34 inches
36 inches
Answers
GPT-4o mini
To estimate the cord length for a necklace containing 88 beads using the regression equation provided (y = 2.52x + 1.61), we need to set y (the number of beads) equal to 88 and solve for x (the cord length).
The equation is:
\[ 88 = 2.52x + 1.61 \]
Subtract 1.61 from both sides:
\[ 88 - 1.61 = 2.52x \]
\[ 86.39 = 2.52x \]
Now, divide both sides by 2.52 to find x:
\[ x = \frac{86.39}{2.52} \]
Calculating this gives:
\[ x \approx 34.24 \]
Based on the available options (21 inches, 26 inches, 34 inches, 36 inches), the best estimate for the cord length is **34 inches**.
The equation is:
\[ 88 = 2.52x + 1.61 \]
Subtract 1.61 from both sides:
\[ 88 - 1.61 = 2.52x \]
\[ 86.39 = 2.52x \]
Now, divide both sides by 2.52 to find x:
\[ x = \frac{86.39}{2.52} \]
Calculating this gives:
\[ x \approx 34.24 \]
Based on the available options (21 inches, 26 inches, 34 inches, 36 inches), the best estimate for the cord length is **34 inches**.