Mathematics
Grade10
Easy
Question
For babysitting, Nicole charges a flat fee of $3, plus $5 per hour. Write an equation for the cost, C, after h hours of babysitting.
- C = 5h + 3
- C = 3h + 5
- H = 5c + 3
- H = 3c + 5
Hint:
the part once charged will be constant part which is y intercept
and variable part will be your slop which here depends on hour
Use this information to construct equation of line .
The correct answer is: C = 5h + 3
Nicole charges a flat fee of $3, plus $5 per hour.
Let C = cost
h = Number of hours
Step 1 : here 3 is constant amount so it will be our y intercept
Step 2 : Per hour charge is 5 , so 5 will act as variable cost .
Step 3 : Cost C as function of h will be C = 5h + 3
So, the equation for the cost C = 5h + 3
The equality between two mathematical expressions involving one or more variables is called an equation. For example, a linear equation is one in which the variable's highest power is one. For example, an algebraic equation of the form ax + b = 0 or ax + by + c = 0. where x and y are the two highest-power variables and a, b, and c are real numbers.
The answer to this question was C = 5h + 3. The y-intercept is where h=0. It has the value c=3 and represents the fixed cost. The slope is 3, representing the rate at which C is increasing. If she babysits for 5 hours, she makes
C = 5*5 + 3
C = 25 + 3
C = 28
Therefore using the equation C = 5h + 3, we get the answer is $28.
