Question

Louise is reading a 300-page book. She reads 15 pages every day. Which graph correctly displays y, the number of pages that Louise has left to read after x days? A graph titled How Much Louise Has Left to Read has days on the x-axis and pages on the y-axis. A line goes through (0, 300) and (2, 330). A graph titled How Much Louise Has Left to Read has days on the x-axis and pages on the y-axis. A line goes through (0, 0) and (2, 30). A graph titled How Much Louise Has Left to Read has days on the x-axis and pages on the y-axis. A line goes through (0, 300) and (3, 240). A graph titled How Much Louise Has Left to Read has days on the x-axis and pages on the y-axis. A line goes through (0, 300) and (2, 270).

Answer 1

SOLUTION

TO CHOOSE THE CORRECT OPTION

Louise is reading a 300-page book. She reads 15 pages every day. Which graph correctly displays y, the number of pages that Louise has left to read after x days

• A graph titled How Much Louise Has Left to Read has days on the x-axis and pages on the y-axis. A line goes through (0, 300) and (2, 330).

• A graph titled How Much Louise Has Left to Read has days on the x-axis and pages on the y-axis. A line goes through (0, 0) and (2, 30).

• A graph titled How Much Louise Has Left to Read has days on the x-axis and pages on the y-axis. A line goes through (0, 300) and (3, 240).

• A graph titled How Much Louise Has Left to Read has days on the x-axis and pages on the y-axis. A line goes through (0, 300) and (2, 270).

EVALUATION

Graph : Graph is referred to the attachment

From the graph we see that the x axis represents the days and y axis represents the pages

Two points are (0, 300) and (2, 270)

So the required equation of the line is

$\displaystyle \sf{ \frac{y - 270}{x - 2} = \frac{300 - 270}{0 - 2} }$

$\displaystyle \sf{ \implies \: \frac{y - 270}{x - 2} = \frac{30}{ - 2 } }$

$\displaystyle \sf{ \implies \: \frac{y - 270}{x - 2} = - 15 }$

$\displaystyle \sf{ \implies \: y - 270 = - 15x + 30 }$

$\displaystyle \sf{ \implies \: y = - 15x + 300 }$

$\displaystyle \sf{ \implies \: y = 300 - 15x }$

FINAL ANSWER

Hence the correct option is

A graph titled How Much Louise Has Left to Read has days on the x-axis and pages on the y-axis. A line goes through (0, 300) and (2, 270)

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Answer 2

Solution ⤵️

To Find⤵️

Choose the correct option

Louise is reading a 300-page book. She reads 15 pages every day. Which graph correctly displays y, the number of pages that Louise has left to read after x days.

○A graph titled How Much Louise Has Left to Read has days on the x-axis and pages on the y-axis. A line goes through (0, 300) and (2, 330).

○A graph titled How Much Louise Has Left to Read has days on the x-axis and pages on the y-axis. A line goes through (0, 0) and (2, 30).

○A graph titled How Much Louise Has Left to Read has days on the x-axis and pages on the y-axis. A line goes through (0, 300) and (3, 240).

○A graph titled How Much Louise Has Left to Read has days on the x-axis and pages on the y-axis. A line goes through (0, 300) and (2, 270).

Calculation ⤵️

Graph :-Graph is referred to the attachment

From the graph we see that the x axis represents the days and y axis represents the pages.

Two points are (0, 300) and (2, 270)

So, required equation of the line is:-

$\displaystyle \bf{ \frac{y - 270}{x - 2} = \frac{300 - 270}{0 - 2} }$

$\displaystyle \bf{ \implies \: \frac{y - 270}{x - 2} = \frac{30}{ - 2 } }$

$\displaystyle \bf{ \implies \: \frac{y - 270}{x - 2} = - 15 }$

$\displaystyle \bf{ \implies \: y - 270 = - 15x + 30 }$

$\displaystyle \bf{ \implies \: y = - 15x + 300 }$

$\displaystyle \bf{ \implies \: y = 300 - 15x }$

Answer ⤵️

Hence the correct option is⤵️

last option✔A graph titled How Much Louise Has Left to Read has days on the x-axis and pages on the y-axis. A line goes through (0, 300) and (2, 270)

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