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The estimated total cost, [tex]\(y\)[/tex], of a child's toy is partially based on the number of batteries used, [tex]\(x\)[/tex]. The cost of one battery is [tex]$0.75. The toy itself costs $[/tex]12.

Which equation represents the situation?

A. [tex]\(y = 12x + 0.75\)[/tex]
B. [tex]\(y = 0.75x + 12\)[/tex]
C. [tex]\(y = 12x - 0.75\)[/tex]
D. [tex]\(y = 0.75x - 12\)[/tex]

Sagot :

GinnyAnsweridn
To determine which equation correctly represents the total cost [tex]\( y \)[/tex] of a child's toy considering the number of batteries used [tex]\( x \)[/tex], we need to follow these steps:

1. Identify the cost components:
- Battery cost: Each battery costs \[tex]$0.75. - Toy cost: The toy itself costs \$[/tex]12.

2. Formulate the equation:
- The cost contribution from the batteries can be expressed as [tex]\( 0.75x \)[/tex], where [tex]\( x \)[/tex] is the number of batteries used.
- The fixed cost of the toy is \$12.

3. Combine these components into the total cost equation:
- The total cost [tex]\( y \)[/tex] will include both the variable cost from the batteries and the fixed cost of the toy.

Combining these components, we get:
[tex]\[ y = 0.75x + 12 \][/tex]

Therefore, the correct equation that represents the situation is:
[tex]\[ y = 0.75x + 12 \][/tex]

This matches the second equation in the provided choices. Thus, the correct answer is:
[tex]\[ \boxed{y = 0.75x + 12} \][/tex]
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