a business student is studying the effect of positive online reviews on the nail salons in her town. she…

a business student is studying the effect of positive online reviews on the nail salons in her town. she made a scatter plot to show the relationship between the number of new clients that each nail salon gained in one month and the number of positive reviews it had on a popular site. then, she drew a line of best fit. nail salons the equation for the line of best fit is y = 2x + 13. which statements are supported by this equation? select all that apply. a nail salon with 15 positive reviews will gain about 43 new clients in a month. on average, each additional positive review brings in an additional 2 new clients that month. a salon with no positive reviews should expect to gain no new clients. a salon that gained 53 new clients in a month had roughly 20 positive reviews.

a business student is studying the effect of positive online reviews on the nail salons in her town. she made a scatter plot to show the relationship between the number of new clients that each nail salon gained in one month and the number of positive reviews it had on a popular site. then, she drew a line of best fit. nail salons the equation for the line of best fit is y = 2x + 13. which statements are supported by this equation? select all that apply. a nail salon with 15 positive reviews will gain about 43 new clients in a month. on average, each additional positive review brings in an additional 2 new clients that month. a salon with no positive reviews should expect to gain no new clients. a salon that gained 53 new clients in a month had roughly 20 positive reviews.

Answer

Explanation:

Step1: Comprobar la primera afirmación

Sustituir (x = 15) en (y=2x + 13). [y=2\times15+13=30 + 13=43]

Step2: Analizar la pendiente

En la ecuación (y = mx + b) (donde (m) es la pendiente y (b) es la intersección con el eje - y), para (y=2x + 13), la pendiente (m = 2). Esto significa que por cada aumento de 1 en (x) (cada revisión positiva adicional), (y) (el número de nuevos clientes) aumenta en 2.

Step3: Comprobar la tercera afirmación

Sustituir (x = 0) en (y=2x + 13). [y=2\times0+13=13] Así que un salón sin revisiones positivas espera ganar 13 nuevos clientes, no 0.

Step4: Comprobar la cuarta afirmación

Sustituir (y = 53) en (y=2x + 13) y resolver para (x). [53=2x+13] [2x=53 - 13=40] [x = 20]

Answer:

A. A nail salon with 15 positive reviews will gain about 43 new clients in a month. B. On average, each additional positive review brings in an additional 2 new clients that month. D. A salon that gained 53 new clients in a month had roughly 20 positive reviews.