While riding her bike, Susan burns 450 calories every 1/2 hour. Based on this rate, how many calories will Susan burn if she rides the bike for 1 3/4?

Respuesta :

1575 calories. 225 calories per 15 mins so 225 times 7 is 1575

Answer:

Susan will burn 1,575 calories.

Step-by-step explanation:

Let's turn these numbers into ratios.

[tex]\frac{450}{\frac{1}{2} } = \frac{x}{\frac{7}{4} }[/tex] (I turned the mixed number into an improper fraction for simplicity's sake)

Looks a bit messy. Let's flip some numbers around and make it look neater.

[tex]\frac{450*2}{1}  = \frac{4x}{7}[/tex]

[tex]900 = \frac{4x}{7}[/tex]

That's better! Let's now multiply each side by 7 and solve for x:

[tex]900*7 = \frac{4x}{7} * 7[/tex]

[tex]6300 = 4x[/tex]

[tex]\frac{6300}{4} = \frac{4x}{4}[/tex]