The data table represents the distance between a well-known lighthouse and a cruise ship over time. The cruise ship is travelling at uniform speed. Which equation represents the distance (y) from the lighthouse, based on the number of hours (x)?
Number Distance from Lighthouse
of Hours (in oceanic miles)
2 53
4 95.5
6 138
8 180.5
10 223
12 265.5
14 308
16 350.5

Question

The data table represents the distance between a well-known lighthouse and a cruise ship over time. The cruise ship is travelling at uniform speed. Which equation represents the distance (y) from the lighthouse, based on the number of hours (x)?
Number       Distance from Lighthouse
of Hours      (in oceanic miles)
2                  53 
4                  95.5 
6                  138 
8                  180.5 
10                223 
12                265.5 
14                308 
16                350.5

queenb__ · Answer

y = 42.5x + 10.5
y = 10.5x + 32
y = 21.25x + 10.5
y = 12.25x + 28.5
y = 12.5x + 10.5

563blackghost · Answer

Find the slope between two points. `(hours,miles)`. So we will use `(2,53) and (4,95.5)`

$\huge\bf{\frac{rise}{run} \rightarrow \frac{y_{2}-y_{1}}{x_{2}-x_{1}} \rightarrow \frac{95.5 - 53}{4-2}}$

queenb__ · Answer

y = 21.25x + 10.5 @563blackghost