Question

writing proportional equations google classroom microsoft teams carlos harvests cassavas at a constant rate. he needs 35 minutes to harvest a total of 15 cassavas. write an equation to describe the relationship between t, the time, and c, the total number of cassavas. do not use a mixed number.

Explanation:

Step1: Find harvest rate per minute

$\text{Rate} = \frac{\text{Number of cassavas}}{\text{Time}} = \frac{15}{35} = \frac{3}{7}$ cassavas per minute

Step2: Relate time and cassavas

The total number of cassavas $c$ is equal to the rate multiplied by time $t$.
$c = \frac{3}{7}t$
Alternatively, solve for $t$: $t = \frac{7}{3}c$; the standard proportional relationship with $c$ dependent on $t$ is $c=\frac{3}{7}t$.

Answer:

$c = \frac{3}{7}t$