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Joan and Ginny run at constant speeds, Joan can run 1 mile in 7 minutes, and Ginny
can run 3 miles in 30 minutes, Joan started running 10 minutes after Ginny,
Choose the linear equation that represents Joan's constant speed.


Sagot :

Answer

y=x+10

Step-by-step explanation:

The equation that represents Joan's function is [tex]y =\frac 17x + 1[/tex]

Linear function

A linear function is a function whose value changes at a constant rate.

A linear function is represented as:

[tex]y = mx + c[/tex]

Where

  • m represents the rate
  • c represents the initial value i.e. the distance

From the question, we have:

  • [tex]m_1 = \frac 17[/tex] -- Joan's rate
  • [tex]m_2 = \frac{3}{30}[/tex] -- Ginny's rate

The distance covered by Ginny in 10 minutes is:

[tex]d = \frac{3}{30} \times 10[/tex]

[tex]d = 1[/tex]

This represents the initial value of Joan's function

Hence, the equation that represents Joan's function is [tex]y =\frac 17x + 1[/tex]

Read more about linear functions at:

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