Question

select the correct answer
a geologist gathered data about the total shoreline and maximum depth of several area lakes and organized the data into the table

total shoreline (miles)	22	17	10	23	12	35	7
maximum depth (feet)	101	85	59	113	64	158	33

she then used a graphing tool to display the data in a scatter - plot, with x representing the total miles of shoreline and y representing the maximum depth. she also used the graphing tool to find the equation of the line of best fit.
y = 4.26x+10.908
based on the line of best fit, what is the approximate maximum depth of a lake that has 31 miles of shoreline?
a. 121 feet
b. 132 feet
c. 138 feet
d. 143 feet

Explanation:

Step1: Identify the values

We are given the equation of the line of best - fit $y = 4.26x+10.908$ and $x = 31$ (miles of shoreline).

Step2: Substitute $x$ into the equation

Substitute $x = 31$ into $y = 4.26x+10.908$. So, $y=4.26\times31 + 10.908$.
First, calculate $4.26\times31$:
$4.26\times31=(4 + 0.26)\times31=4\times31+0.26\times31=124+8.06 = 132.06$.
Then, $y=132.06+10.908=142.968\approx143$.

Answer:

D. 143 feet