a ramp with a constant incline is made to connect a driveway to a front door. at a point 4 feet from the…

a ramp with a constant incline is made to connect a driveway to a front door. at a point 4 feet from the driveway, the height of the ramp is 12 inches. at a point 6 feet from the driveway, the height of the ramp is 18 inches. what is the rate of change of the ramps incline?\n\no $\frac{1}{3}$ inch up per foot across\n\no $\frac{1}{2}$ inch up per foot across\n\no 2 inches up per foot across\n\no 3 inches up per foot across

a ramp with a constant incline is made to connect a driveway to a front door. at a point 4 feet from the driveway, the height of the ramp is 12 inches. at a point 6 feet from the driveway, the height of the ramp is 18 inches. what is the rate of change of the ramps incline?\n\no $\frac{1}{3}$ inch up per foot across\n\no $\frac{1}{2}$ inch up per foot across\n\no 2 inches up per foot across\n\no 3 inches up per foot across

Answer

Answer:

D. 3 inches up per foot across

Explanation:

Step1: Identificar los puntos

Tenemos los puntos $(x_1,y_1)=(4,12)$ y $(x_2,y_2)=(6,18)$ donde $x$ es la distancia desde la entrada y $y$ es la altura del carril.

Step2: Aplicar la fórmula de la pendiente

La pendiente $m=\frac{y_2 - y_1}{x_2 - x_1}$. Sustituimos los valores: $m=\frac{18 - 12}{6 - 4}=\frac{6}{2}=3$. Esto significa que la tasa de cambio de la inclinación del carril es de 3 pulgadas hacia arriba por pie de distancia horizontal.