Question

a robot moves at a constant speed. the distance it moves and the time it spends moving are shown in this table: time (in minutes) distance (in kilometers) 10 7 15 10.5 20 14 write an equation to describe the relationship between t, the time, and d, the distance. equations may include exact decimals, proper fractions, or improper fractions. please do not round or use mixed numbers.

Explanation:

Step1: Calculate constant speed

$\text{Speed} = \frac{\text{Distance}}{\text{Time}} = \frac{7}{10} = 0.7$

Step2: Relate distance, speed, time

Since $\text{Distance} = \text{Speed} \times \text{Time}$, substitute speed.
$d = 0.7t$ or $d = \frac{7}{10}t$

Answer:

$d = 0.7t$ (or $d = \frac{7}{10}t$)