The amount of data that can be downloaded in 6 seconds as an ordered pair (t, d) is (6, 4.5).
In Mathematics and Geometry, a proportional relationship is a type of relationship that passes through the origin (0, 0) and produces equivalent ratios as represented by the following mathematical equation:
y = kx ≡ d = kt
Where:
- y represents the y-variable or data (in megatbytes).
- x represents the x-variable or time (in seconds).
- k is the constant of proportionality.
Next, we would determine the constant of proportionality (k) by using various data points as follows:
Constant of proportionality, k = d/t
Constant of proportionality, k = 3/4
Constant of proportionality, k = 0.75
Therefore, the required linear function for the bookmark cost is given by;
d = kt
d = 0.75t
When x is 6 seconds, the the amount of data downloaded can be calculated as follows;
d = 0.75(6)
d = 4.5 megatbytes
In conclusion, the amount of data that can be downloaded in 6 seconds as an ordered pair is (6, 4.5).
Complete Question;
A file downloads at a constant rate. The amount of data d that is downloaded in time t is a function and is graphed below.
How much data can be downloaded in 6 seconds? Write the answer as an ordered pair (t, d).