Answer:
a.- slope= 36
Interpretation : The cable car travels 36 meter per minute
b.- y = 36x + 100
c.- 640 meters
Step-by-step explanation:
a.-
Find slope using the slope formula : [tex]\frac{y2-y1}{x2-x1}[/tex]
Plug in the two given points: [tex]\frac{1000-100}{25-0}[/tex]
Subtract the numbers : [tex]\frac{900}{25}[/tex]
Reduce the fraction : 36
b.-
Using the given y-interspet (100) and the slope create an equation: y = 36x + 100
c.-
Using the equation you created plug in 15 for x to find the
distance: y = 36 (15) + 100
Multiply the numbers : y = 540 + 100
Add the numbers : y = 640
