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Nicholas started a canned-food drive at school. The equation representing this is [tex]\( y = 235x + 15 \)[/tex], where [tex]\( x \)[/tex] is the number of days, and [tex]\( y \)[/tex] is the number of cans collected.

Explain how to determine how many days it would take to collect 2600 cans.

Sagot :

GinnyAnswer
To determine how many days it would take for Nicholas to collect 2600 cans, we start with the given equation:

[tex]\[ y = 235x + 15 \][/tex]

Here, [tex]\( y \)[/tex] represents the total number of cans collected, and [tex]\( x \)[/tex] represents the number of days. We need to find the value of [tex]\( x \)[/tex] when [tex]\( y \)[/tex] is 2600.

1. Substitute [tex]\( y \)[/tex] with 2600 in the equation:
[tex]\[ 2600 = 235x + 15 \][/tex]

2. Isolate the term involving [tex]\( x \)[/tex]:
To do this, we first subtract 15 from both sides of the equation:
[tex]\[ 2600 - 15 = 235x \][/tex]
[tex]\[ 2585 = 235x \][/tex]

3. Solve for [tex]\( x \)[/tex]:
To find [tex]\( x \)[/tex], we divide both sides of the equation by 235:
[tex]\[ x = \frac{2585}{235} \][/tex]

4. Calculate the result:
Performing the division:
[tex]\[ x = 11 \][/tex]

Therefore, it would take 11 days for Nicholas to collect 2600 cans.
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