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.

  1. C = 5h + 3
  2. C = 3h + 5
  3. H = 5c + 3
  4. H = 3c + 5

hintHint:

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.

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