Question

ces - 8th grade > find the rule: word problems ysh

carson is a party planner at the grand ballroom. the bigger the party, the more dining tables he uses. the table below shows how many chairs he needs to put out, c, based on the number of dining tables being used, t.

input (t) output (c)
5 40
6 48
7 56
8 64

write an equation that describes the relationship between t and c.
c =
submit.
work it out
not feeling ready yet? these can help:
input/output tables: find the rule (8)
compare patterns.

Explanation:

Step1: Find the constant ratio

$\frac{c}{t} = \frac{40}{5} = 8$

Step2: Verify ratio for other values

$\frac{48}{6}=8$, $\frac{56}{7}=8$, $\frac{64}{8}=8$

Step3: Form the equation

Since $c = 8t$ holds for all pairs.

Answer:

$8t$