446,500 views
36 votes
36 votes
The swimmer wants to seetime it will take to swim 10the number of laps, and y represents theseconds, which statement is trueThe equation for the line of bestfor the data is y* 15.3 - 10.4 andthe best estimate for the count oftime to swim 10 taps is 163 secondsThe equation for the line of best fitfor the data is y = 1536 + 10.4, andthe best estimate for the amount oftime to swim 10 laps is 136 seconds.The equation for the line of best fitfor the data is y = 10.4x + 15 3. andthe best estimate for the amount ofYes

The swimmer wants to seetime it will take to swim 10the number of laps, and y represents-example-1
User Deependra Singh
by
2.7k points

1 Answer

20 votes
20 votes

Answer: Option A

We are given a table in the question which provided us with the information of number of laps and time

Let x = number of laps

y = time

Firstly, we will pick any two points on the table

Let x1 = 4, x2 = 20, y1 = 96, and y2 = 340


\begin{gathered} \text{The slope-intercept form of equation is written as} \\ y\text{ = mx + b, where m = slope and b = intercept} \\ \text{Slope = }\frac{y2\text{ - y1}}{x2\text{ - x1}} \\ \text{Slope = }\frac{340\text{ - 96}}{20\text{ - 4}} \\ \text{Slope = }(244)/(16) \\ \text{Slope = 15.25} \\ \text{Slope = 15.3} \\ \text{The equation for a given point} \\ (y\text{ - y1) = m(x -x1)} \\ (y\text{ - 96) = 15.3(x - 4)} \\ \text{Open the parentheses} \\ y\text{ - 96 = 15.3x - 61.2} \\ y\text{ = 15.3x - 61.2 +96} \\ y\text{ = 15.3x +10.4 } \end{gathered}


\begin{gathered} From\text{ the option, we have given different form of equation} \\ y=15.3x\text{ + 10.4} \\ \text{When x = 10} \\ y\text{ = 15.3 x 10 + 10.4} \\ y\text{ = 153 + 10.4} \\ y\text{ = 163.4 seconds} \\ \text{ y = 163 seconds} \end{gathered}

Option A is the only option that satisfy the condition

User Jacer Omri
by
3.0k points