Answer:
Option C) 34 inches
Explanation:
We are given the following in the question:
The graph shows the number of beads on varying cord lengths.
The y-axis represents the number of beads and x-axis represents the cord length in inches.
The graph represents the equation:
![y = 2.52x + 1.61](https://img.qammunity.org/2020/formulas/mathematics/middle-school/4omx8d5hf5qq8omm5ynxmm529tul0f73jf.png)
where y is the number of beads and x is the cord length.
We have to find the cord length of a necklace consisting of 88 beads.
Thus, we are given y = 88.
Putting this value in the equation, we get,
![y = 2.52x + 1.61\\88 = 2.52x + 1.61\\2.52x = 88 - 1.61\\2.52x = 86.39\\\\x = \displaystyle(86.39)/(2.52) = 34.28 \approx 34](https://img.qammunity.org/2020/formulas/mathematics/middle-school/oi2hr0zuh8iu6jsuoqvmqpwxxjp91cb1gr.png)
Thus, the cord length of necklace with 88 beads is approximatwly 34 inches.