Question

The value of y varies directly with x, and y = 104 when x = 13. Find y when x = 2.5. HELP PLEASE

Answer 1

See picture for solution steps and answer.

Answer 2

Answer:

Step-by-step explanation:

If a given variable varies directly with another variable, it means that an increase in the value of the given variable results in a corresponding increase in the value of the other variable. Also, a decrease in the value of the given variable results in a corresponding decrease in the value of the other variable.

If value of y varies directly with x, we would introduce a constant of variation so that the expression becomes

y = kx

When x = 13, y = 104. Substituting into the above expression, it becomes

104 = 13k

k = 104/13

k = 8

The equation becomes

y = 8x

Therefore, when x = 2.5,

y = 8 × 2.5

y = 20