Joshua and Caleb work at a furniture store. Joshua is paid $175 per week plus 5% of his total sales in dollars, x, which can be represented by g (x) = 175+0.05x. Caleb is paid $532 per week plus 2% of his total sales in dollars, xx, which can be represented by f (x) = 532+0.02x. Determine the value of x, in dollars, that will make their weekly pay the same.

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Itsy

Mathematics

Today, 07:07

Joshua and Caleb work at a furniture store. Joshua is paid $175 per week plus 5% of his total sales in dollars, x, which can be represented by g (x) = 175+0.05x. Caleb is paid $532 per week plus 2% of his total sales in dollars, xx, which can be represented by f (x) = 532+0.02x. Determine the value of x, in dollars, that will make their weekly pay the same.

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Johnny Wang · Answer 1

Answer: x = $11,900

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

Joshua's earnings: g (x) = 175+0.05x

Caleb's earnings: f (x) = 532+0.02x.

So, if both earnings are equal:

g (x) = f (x)

175+0.05x = 532+0.02x

Solving for x:

0.05x-0.02x = 532-175

0.03x = 357

x = 357 / 0.03

x = $11,900

Feel free to ask for more if needed or if you did not understand something.