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The points (3, 24) and (7, 56) represent points of a function where y, the number of photographs, varies directly with x, the number of pages in an album. Which statement describes another point on the graph of this function? A 50-page photo album holds 400 photographs. An 80-page photo album holds 560 photographs. A 100-page photo album holds 8,000 photographs. A 900-page photo album holds 8,400 photographs.

Respuesta :

[tex]\bf (\stackrel{x_1}{3}~,~\stackrel{y_1}{24})\qquad (\stackrel{x_2}{7}~,~\stackrel{y_2}{56}) \\\\\\ slope = m\implies \cfrac{\stackrel{photographs}{\stackrel{rise}{ y_2- y_1}}}{\stackrel{album~pages}{\stackrel{run}{ x_2- x_1}}}\implies \cfrac{56-24}{7-3}\implies \cfrac{32}{4}\implies \cfrac{\stackrel{photographs}{8}}{\stackrel{album~pages}{1}}[/tex]


[tex]\bf \rule{34em}{0.25pt}\\\\ \cfrac{\stackrel{photographs}{400}}{\stackrel{album~pages}{50}}\implies \cfrac{\stackrel{photographs}{8}}{\stackrel{album~pages}{1}}\leftarrow \textit{50 pages album, hold 400 photos}[/tex]

abidemiokin

Option A is correct. a 50-page photo album holds 400 photographs

The slope is used to determine the steepness of a line.

Give the coordinate points (3, 24) and (7, 56)

Since y varies directly with x, we need to get the slope to determine the correct answer:

[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope = \frac{56-24}{7-3}\\Slope=\frac{32}{4} \\Slope = \frac{8}{1}[/tex]

This shows that for every 8 number photographs, we can have 1 number of pages in an album.

1 page = 8 photographs

For 50 pages

50pages = x

1/50 = 8/x

x = 8×50

x = 400 photograpghs.

Hence we can conclude that a 50-page photo album holds 400 photographs

Learn more here: https://brainly.com/question/23935638

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