frankie calculated that she would need 9.5 yards of wallpaper to decorate her room. The wallpaper she chose had a large pattern, so instead she needed 13 yards of that paper. What is the percent of increase, rounded to the nearest percent, in the amount of wallpaper she need? Show your work.

Respuesta :

Answer:

The percent of the increase in the amount of wallpaper is 37% to the nearest percent

Step-by-step explanation:

The percentage of increase = [(New - original) ÷ original] × 100%

∵ Frankie would need 9.5 yards of wallpaper to decorate her room

The original value = 9.5 yards

∵ The wallpaper she chose had a large pattern, so instead she

   needed 13 yards of that paper

The new value = 13 yards

→ By using the rule above

∵ Percent of increase = [tex]\frac{13-9.5}{9.5}[/tex] × 100%

∴ Percent of increase = [tex]\frac{3.5}{9.5}[/tex] × 100%

∴ Percent of increase = 0.36842105 × 100%

∴ Percent of increase = 36.842105%

→ Round it to the nearest percent (whole number)

Percent of increase = 37%

The percent of the increase in the amount of wallpaper is 37% to the nearest percent