Question

1. as part of a digital media project, students at wharton high school tracked the number of social media followers for their school’s official instagram account over time. they created a scatter plot and used a line of best fit to model the growth. the data can be modeled by the equation ( y = 500 + 10x ) where ( y ) represents the number of followers and ( x ) is the number of years since 2015. based on the model, how many followers is the account projected to have in the year 2030?

chart: a scatter plot with years since 2015 on the x - axis (ranging from 0 to 16) and wharton high school instagram followers (2015 - 2030) on the y - axis (ranging from 500 to 640). a dashed line of best fit is drawn through the points, starting at (0, 500) and showing a positive linear trend.

Explanation:

Step1: Calcular el valor de x

Primero, calculamos el número de años desde 2015 hasta 2030. \( 2030 - 2015 = 15 \), por lo tanto \( x = 15 \).

Step2: Sustituir x en la ecuación

La ecuación del modelo es \( y = 500 + 10x \). Sustituimos \( x = 15 \) en la ecuación: \( y = 500 + 10 \times 15 \).

Step3: Realizar la operación

Calculamos \( 10 \times 15 = 150 \), luego \( 500 + 150 = 650 \).

Answer:

650