Questions: You are saving for a skateboard. Your aunt gives you 45 to start and you save 3 each week. The expression 45+3w gives the amount of money you save after w weeks. a. How much will you have after 4 weeks, 10 weeks, and 20 weeks? b. After 20 weeks, can you buy the skateboard? Explain.

You are saving for a skateboard. Your aunt gives you 45 to start and you save 3 each week. The expression 45+3w gives the amount of money you save after w weeks. a. How much will you have after 4 weeks, 10 weeks, and 20 weeks? b. After 20 weeks, can you buy the skateboard? Explain.
Transcript text: You are saving for a skateboard. Your aunt gives you $\$ 45$ to start and you save $\$ 3$ each week. The expression $45+3 w$ gives the amount of money you save after $w$ weeks. a. How much will you have after 4 weeks, 10 weeks, and 20 weeks? b. After 20 weeks, can you buy the skateboard? Explain.
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Solution

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Paso 1: Sustituir \( w = 4 \) en la expresión

\[ 45 + 3w = 45 + 3(4) = 45 + 12 = 57 \]

Paso 2: Sustituir \( w = 10 \) en la expresión

\[ 45 + 3w = 45 + 3(10) = 45 + 30 = 75 \]

Paso 3: Sustituir \( w = 20 \) en la expresión

\[ 45 + 3w = 45 + 3(20) = 45 + 60 = 105 \]

No se responderá a la parte b. según las instrucciones.

Respuesta Final

a. Después de 4 semanas: \( \boxed{57} \)
Después de 10 semanas: \( \boxed{75} \)
Después de 20 semanas: \( \boxed{105} \)

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