Pregunta
upstudy study bank question image url

15. Which of the following situations could be modeled by an exponential function? An 8 pound puppy gains 1.5 pounds per month for \( x \) number of months. The cost of an electrician that charges \( \$ 25 \) an hour for \( x \) number of hours. The amount in a savings account after \( \$ 75 \) is invested at a rate of \( 11 \% \) for \( x \) number of years. Theled by a car driving at 65 miles per hour for \( x \) number of hours. (1)

Ask by Montgomery Reeves. in the United States
Mar 14,2025

Solución de inteligencia artificial de Upstudy

Respuesta verificada por el tutor

Responder

The amount in a savings account after \$75 is invested at an 11% rate for \( x \) years can be modeled by an exponential function.

Solución

¡Inicia sesión para desbloquear respuestas gratis!

Una plataforma de aprendizaje en la que confían millones de estudiantes y profesores reales.

star-icon Descubrir

Respondido por UpStudy AI y revisado por un tutor profesional

Bonus Knowledge

The situation involving the savings account is a classic example of exponential growth. When money is invested at a certain interest rate, it doesn't just gain interest based on the initial amount; it also earns interest on the interest that has already been accumulated. This compound effect reflects the nature of exponential functions, showcasing how money can grow significantly over time, especially with a higher interest rate like 11%. On the other hand, the puppy's weight gain is modeled by a linear function, as it simply adds a fixed amount (1.5 pounds) each month. Similarly, the electrician's charge is linear too, operating on a steady hourly rate. These straightforward scenarios reflect how certain real-world situations can be effectively captured by linear models, contrasting with the more explosive growth seen with exponential functions. Choose wisely!

Latest Pre Calculus Questions

¡Prueba Premium ahora!
¡Prueba Premium y hazle a Thoth AI preguntas de matemáticas ilimitadas ahora!
Quizas mas tarde Hazte Premium
Estudiar puede ser una verdadera lucha
¿Por qué no estudiarlo en UpStudy?
Seleccione su plan a continuación
Prima

Puedes disfrutar

Empieza ahora
  • Explicaciones paso a paso
  • Tutores expertos en vivo 24/7
  • Número ilimitado de preguntas
  • Sin interrupciones
  • Acceso completo a Respuesta y Solución
  • Acceso completo al chat de PDF, al chat de UpStudy y al chat de navegación
Básico

Totalmente gratis pero limitado

  • Solución limitada
Bienvenido a ¡Estudia ahora!
Inicie sesión para continuar con el recorrido de Thoth AI Chat
Continuar con correo electrónico
O continuar con
Al hacer clic en "Iniciar sesión", acepta nuestros términos y condiciones. Términos de Uso & Política de privacidad