College

7 added to 4 times a quantity y is equal to 62. Which equation represents this condition?

A. [tex]7(4y) = 62[/tex]
B. [tex]7 - 4y = 62[/tex]
C. [tex]7 + 4y = 62[/tex]
D. [tex]4y - 7 = 62[/tex]

Answer :

We start by translating the verbal statement into a mathematical equation. The phrase "4 times a quantity [tex]$y$[/tex]" translates to [tex]$4y$[/tex], and "7 added to" means we add [tex]$7$[/tex] to that product. So we have

[tex]$$4y + 7.$$[/tex]

The complete phrase "7 added to 4 times a quantity [tex]$y$[/tex] is equal to 62" tells us that

[tex]$$4y + 7 = 62.$$[/tex]

Looking at the given options, this equation is represented by option c.