Question

Emily practices the piano 25 minutes a day. To identify the total number of minutes she practices, she uses the function rule: y

1. To identify the total number of minutes she practices, she uses the function rule where f(10)=250.

What is the function rule?

• A functioning rule is an equation that represents the relationship between the dependent and independent variables.
• A functioning rule explains how to calculate the value of the dependent variable, say y, in terms of the independent variable, say x.
• A functioning rule can be expressed verbally or symbolically.
• When a function rule is written based on data from an input/output table, the pattern in the table must be represented by the function rule.
• To begin, look for a pattern between the input and output numbers.
To find f(10):
• When we are finding f(10), that is like saying find how many minutes she practices if she practices 25 minutes a day for 10 days.
• To find the answer, first, remember that y is the same as saying f(x).
So to find f(10), you just have to plug in a 10 where you see an x.
• f(10)=25 × 10
• f(10)=250
Therefore, to identify the total number of minutes she practices, she uses the function rule where f(10)=250.
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The correct question is given below:
Emily practices the piano 25 minutes a day. To identify the total number of minutes she practices, she uses the function rule:
y = 25x.Find f (10)