The points (3, 24) and (7, 56) represent points of a function where y, the number of photographs, varies directly with x, th

Question

3 years ago

8

The points (3, 24) and (7, 56) represent points of a function where y, the number of photographs, varies directly with x, th

e 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.

Mathematics

2 answers:

julsineya [31]3 years ago

8 0

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

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