For the open-ended question below, be sure to show your work and/or explain your reasoning.
Scott has $15.00, and he earns $6.00 an hour babysitting.
a) Write an equation for the amount of money (m) Scott has after a number of hours babysitting (h).
b) After how many hours of babysitting will Scott have $51.00?

Respuesta :

a) The equation for the amount of money (m) Scott has after a number of hours babysitting (h) is m = 15 + 6 h

b) Scott will babysitting for 6 hours to have $51.00

Step-by-step explanation:

The given is:

  • Scott has $15.00
  • He earns $6.00 an hour babysitting

Write an equation for the amount of money (m) Scott has after a number of hours babysitting (h) and find the number of hours of babysitting if Scott have $51.00

a)

∵ Scott has $15.00

∵ He earns $6.00 an hour babysitting

∵ h is the number of hours of babysitting

∵ m is the amount of money that Scott has after h hours

- Equate m by the sum of 15.00 and the product of 6.00 and h

m = 15 + 6 (h)

∴ The equation is m = 15 + 6 h

The equation for the amount of money (m) Scott has after a number of hours babysitting (h) is m = 15 + 6 h

b)

∵ Scott has $51.00

∴ m = 51

- Substitute the value of m in the equation to find h

∵ 51 = 15 + 6 h

- Subtract 15.00 from both sides

∴ 36 = 6 h

- Divide both sides by 6

6 = h

∴ h = 6 hours

Scott will babysitting for 6 hours to have $51.00

Learn more:

You can learn more about the linear equation in brainly.com/question/1284310

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