Question

A student charges $31.50 for 3 hours of babysitting. If the amount the student earns babysitting is proportional to the hours spent babysitting, which equation models the amount of dollars, y, the student earns for x hours of babysitting?

A. y is equal to 0.1 x
B. y is equal to 3.0 x
C. y is equal to 10.5 x
D. y is equal to 31.5 x

Answer 1

C) y is equal to 10.5x

Explanation:

$31.50 is charged for 3 hours so, for 1 hour we need to divide 31.50 by 3, which results in 10.50. So 1 hour of babysitting is $10.50

this is because x is equal to the number of hours they babysit. we do not know the actual so it is replaced with x

and y is equal to the sum of 10.5x because we multiply the number of hours worked, and the amount per hour.