Hannah reads at a constant rate of x pages every y minutes. Write an equation that shows the relationship between p, the number of pages she reads, and t, the number of minutes she spends reading. Do NOT use a mixed number.
Q. Hannah reads at a constant rate of x pages every y minutes. Write an equation that shows the relationship between p, the number of pages she reads, and t, the number of minutes she spends reading. Do NOT use a mixed number.
Identify Rate Relationship: Hannah reads at a constant rate, so we can use a proportion to find the relationship between pages and minutes.
Define Variables: Let's say Hannah reads r pages every t minutes. We need to find the values of r and t.
Formulate Equation: Since the problem doesn't give specific numbers for r and t, we'll just use r and t in our equation.
Simplify Rate: The equation for the relationship between pages read and minutes spent reading is p=(tr)⋅m.
Finalize Equation: But we can't use a mixed number, so we make sure our rate r/t is in simplest form.
Finalize Equation: But we can't use a mixed number, so we make sure our rate tr is in simplest form.Now we write the final equation: p=(tr)⋅m.
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