The statement "The product of a number [tex]\( x \)[/tex] and 7 is 60" can be translated into a mathematical equation where "product" indicates multiplication. Therefore, the equation is:
[tex]\[ 7x = 60 \][/tex]
This equation correctly represents the relationship where 7 multiplied by [tex]\( x \)[/tex] equals 60. The other options do not accurately reflect this relationship:
- [tex]\( x + 7 = 60 \)[/tex] implies the sum of [tex]\( x \)[/tex] and 7 is 60, not the product.
- [tex]\( 60 - x = 7 \)[/tex] implies that 7 is the result of subtracting [tex]\( x \)[/tex] from 60, which is not about their product.
- [tex]\( 60x = 7 \)[/tex] suggests 60 times [tex]\( x \)[/tex] equals 7, which is different from the given relationship.
Hence, the correct equation is [tex]\( 7x = 60 \)[/tex].
