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Part A Which equation represents the best estimate for the total cost of all of the bolts? 33 bolts that cost \( \$ 0.38 \) each. \( \$ 0.30 \times 30=\$ 9 \) \( \$ 0.50 \times 30=\$ 15 \) Part B What is the actual total cost of all of the bolts? Enter your answer in the box. \( \$ 0.40 \times 30=\$ 12 \)

Ask by Vaughan Black. in the United States
Jan 23,2025

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Answer

### Parte A La mejor estimación para el costo total de 33 tornillos a \( \$ 0.38 \) cada uno es: \[ \$ 0.50 \times 30 = \$ 15 \] ### Parte B El costo total real de los 33 tornillos es: \[ \$ 12.54 \]

Solution

### Parte A Para estimar el costo total de los 33 tornillos que cuestan \( \$ 0.38 \) cada uno, podemos usar la siguiente ecuación: \[ \text{Costo total} = \text{Número de tornillos} \times \text{Costo por tornillo} \] Sustituyendo los valores: \[ \text{Costo total} = 33 \times 0.38 \] Ahora, evaluamos las opciones dadas: 1. \( \$ 0.30 \times 30 = \$ 9 \) 2. \( \$ 0.50 \times 30 = \$ 15 \) Ambas opciones no representan el costo de 33 tornillos a \( \$ 0.38 \) cada uno. Sin embargo, si consideramos que estamos buscando una estimación, la opción más cercana sería usar \( \$ 0.50 \) como un costo aproximado por tornillo, ya que es más alto que \( \$ 0.38 \). ### Parte B Ahora, calculemos el costo total real de los 33 tornillos: \[ \text{Costo total real} = 33 \times 0.38 \] Realicemos el cálculo: \[ 33 \times 0.38 = 12.54 \] Por lo tanto, el costo total real de todos los tornillos es: \[ \$ 12.54 \] ### Resumen - **Parte A:** La mejor estimación sería usar \( \$ 0.50 \) por tornillo. - **Parte B:** El costo total real de los 33 tornillos es \( \$ 12.54 \).

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Bonus Knowledge

To estimate the total cost of 33 bolts at \( \$0.38 \) each, rounding the price to \( \$0.40 \) makes calculations easier. So, using \( \$0.40 \times 30 \) gives \( \$12 \), which is not accurate for the total but provides a close estimate. Among the options, \( \$0.30 \times 30=\$9 \) will result in a lower estimate than the actual cost, while \( \$0.50 \times 30=\$15 \) is too high. Now, for the actual total cost of all 33 bolts: \( 33 \times 0.38 = 12.54 \). Thus, the cost rounds to approximately \( \$12.54 \), reflecting how important accuracy is when budgeting!

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