Sure! Let's break down the sentence step by step and translate it into an algebraic equation.
1. "Product of a number and 5": This means we multiply the unknown number [tex]\( c \)[/tex] by 5, which gives us [tex]\( 5c \)[/tex].
2. "Eight more than the product": This means we add 8 to the product described in the first step, resulting in [tex]\( 5c + 8 \)[/tex].
3. "Is equal to 7": This tells us that the expression [tex]\( 5c + 8 \)[/tex] is equal to 7.
Combining all these parts, we can write the equation as:
[tex]\[ 5c + 8 = 7 \][/tex]
This is the translated equation for the given sentence.
