Answered

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Select the equation needed to solve the following word problem:

While driving from his house to the beach, Cameron passed a sign that read "Beach: 21 Miles." If the distance from Cameron's house to the beach is 46 miles, how many miles had Cameron already traveled?

A. [tex]\( x - 46 = 21 \)[/tex]
B. [tex]\( x - 21 = 46 \)[/tex]
C. [tex]\( 21 + x = 46 \)[/tex]
D. [tex]\( 46 + x = 21 \)[/tex]

Sagot :

GinnyAnswer
To solve the word problem, we need to determine how many miles Cameron had already traveled when he passed the sign. Let's break down the problem step-by-step.

1. Let [tex]\( x \)[/tex] represent the distance Cameron has already traveled.
2. According to the problem, the total distance from Cameron's house to the beach is 46 miles.
3. When Cameron passed the sign, there were 21 miles left to the beach.

Using this information, we can set up the following equation to find [tex]\( x \)[/tex]:

[tex]\[ \text{Miles traveled} + \text{Miles left} = \text{Total distance} \][/tex]

In mathematical terms, this equation is:

[tex]\[ x + 21 = 46 \][/tex]

So the correct equation to use is:

[tex]\[ 21 + x = 46 \][/tex]

Therefore, the correct answer is:

C. [tex]\( 21 + x = 46 \)[/tex]
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