The Gateway to Computer Science Excellence
+3 votes
632 views

A straight line is fit to a data set (ln $x, y$). This line intercepts the abscissa at ln $x = 0.1$ and has a slope of $-0.02$. What is the value of y at $x = 5$ from the fit?

  1. $-0.030$ 
  2. $-0.014$
  3. $0.014$
  4. $0.030$
in Numerical Ability by Boss (30.7k points) | 632 views

1 Answer

+2 votes
Best answer
Interception at $x-$axis is $\ln \  x=0.1$ and slope $=-0.02$

Equation fo straight line is given by,

$y=mx+C$

According to the question,

$y=m(\ln \ x)+C$ where $m=-0.02$

$y=-0.02(\ln \ x)+C\quad \rightarrow(1)$

Abscissa is known as intercept in $x-$axis i.e. for $y=0,\ln \ x =0.1$

From equation $(1),$

$0=-0.02\times 0.1+C$

$C=0.002\quad \rightarrow(2)$

From equations $(1)$ and $(2),$

$y=-0.02(\ln \ x)+0.002$

At $x=5,$

$y=-0.02(\ln \ 5)+0.002$

$y=-0.030$

So, the correct answer is $(A).$
by Veteran (58.6k points)
selected by
Answer:

Related questions

Quick search syntax
tags tag:apple
author user:martin
title title:apple
content content:apple
exclude -tag:apple
force match +apple
views views:100
score score:10
answers answers:2
is accepted isaccepted:true
is closed isclosed:true
50,741 questions
57,251 answers
198,050 comments
104,677 users