Tommy and Mark earned a total of $88.00 raking leaves for Mrs. Bopp. Tommy raked for 5 hours and Mark raked for 3 hours. If the boys were paid the same rate, how much did Tommy earn?

Tommy earned $55

Step-by-step explanation:

Proportions

Tommy and Mark made $88 raking leaves for Mrs. Bopp. They were paid the same rate and Tommy raked for 5 hours while Mark raked for 3 hours.

The total time both raked is 5+3=8 hours. The rate Mrs. Bopp paid them was $88/8 = $11 per hour.

Tommy raked 5 hours, so he earned 5*$11 = $55

Tommy earned $55

guess at question:

a vertical line intersects the graph of g(x,y) = 0 at two points. what conclusion follows about the function f(x) implicitly defined by g(x,f(x)) = 0?

the domain of f(x) cannot include the x coordinate of any such vertical line.

informally, f(x) is not a function, and

g(x,y)=0 cannot be solved for y uniquely.

the relation r = {(x,y) such that g(x,y) = 0} is a function if

for all (a,b) ∊ r and (c,d) ∊ r, a=c implies b=d.

step-by-step explanation: