Question

esources - 8th grade > find the rule: word problems ysh
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when mr. watson goes camping, he likes to feel prepared. he always brings extra fire starters depending on how long he plans to camp. the table below shows how many fire starters he brings, $f$, based on the number of days he camps, $d$.
input ($d$) output ($f$)
1 3
2 4
3 5
4 6
write an equation that describes the relationship between $d$ and $f$.
$f = \square$
submit
work it out
not feeling ready yet? these can help:
input/output tables: find the rule (12)
compare patterns

Explanation:

Step1: Identify pattern in values

Check difference between $f$ and $d$:
For $d=1$, $f-d=3-1=2$
For $d=2$, $f-d=4-2=2$
For $d=3$, $f-d=5-3=2$
For $d=4$, $f-d=6-4=2$

Step2: Derive the equation

Since $f - d = 2$, rearrange to solve for $f$.
$f = d + 2$

Answer:

$f = d + 2$