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d1i1m1o1n [39]
1 year ago
10

Isabelle is collecting pledges for a walk-a-thon. Her mother has pledged a flat donation of $9, and her grandmother has pledged

$1 per mile. If Isabelle walks a certain distance, the two donors will end up owing the same amount. How much will each donor owe?
Mathematics
1 answer:
Phantasy [73]1 year ago
3 0
<h2>Key Concepts</h2>
  • Linear systems
  • Word problems

<h2>Solving the Question</h2>

In this case, we're given the following information:

  • Mother = $9
  • Grandmother = $1 per mile
  • Isabelle walks <em>x</em> miles, mother pledge = grandmother pledge

The mother's donation of $9 will not change <em>no matter how many miles Isabelle has walked</em>, so if both the mother's and grandmother's donations are equal, they must each owe 9$.

<h2>Answer</h2>

Each donor owes $9.

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\begin{array}{ccc}{} & {W} & {w} & {w} & {Ww } & {ww } & {w} & { Ww} & {ww } \ \end{array}

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Step-by-step explanation:

See attachment for initial punnet square

Solving (a): Complete the square

Initially, we have:

\begin{array}{ccc}{} & {W} & {w} & {w} & { } & { } & {w} & { } & { } \ \end{array}

To complete the square, we simply write the letter at the column and the letter at the row in each cell;

So, we have:

\begin{array}{ccc}{} & {W} & {w} & {w} & {Ww } & {ww } & {w} & { Ww} & {ww } \ \end{array}

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From the question, we understand that W are dominant to w.

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