Respuesta :

Answer:

• (a)y=10x+8

,

• (b)5 room cleans

Explanation:

Part A

• Weekly Allowance = $8

,

• Reward per room clean = $10.

(a)An equation that represents the weekly income (y in dollars) for x rooms cleaned is:

[tex]y=10x+8[/tex]

Part B

The baseball bat costs $50.

In order to have enough, you have to earn at least $50 in weekly income.

[tex]10x+8=50[/tex]

Solve the equation for x.

[tex]\begin{gathered} Subtract\text{ 8 from both sides} \\ 10x+8-8=50-8 \\ 10x=42 \\ \text{Divide both sides by 10} \\ \frac{10x}{10}=\frac{42}{10} \\ x=4.2 \end{gathered}[/tex]

Since there is no reward for cleaning your room halfway, round to the next whole integer.

[tex]x\approx5[/tex]

The number of room cleans required to earn enough money in one week to buy the baseball bat is 5.

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