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Melissa T.
Math and Science Teacher and Tutor
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Pre-Algebra
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Question:

Hannah babysat her neighbor's kids for 3 hours and earned \$24. Write a general equation that describes how much she would earn for x hours of babysitting. Use your equation to find how much she earned after babysitting for 5 hours.

Melissa T.

\$24/ 3 hours = \$8 per hour y = 8x, where x is the number of hours and y is how much money she earns y = 8 (5) = \$40 Hannah earns \$40 when she works 5 hours.

Calculus
TutorMe
Question:

Write an equation for the line tangent to the curve \$\$ f(x) = x^{4} -3x^{3} - 5x^{2} + 10 \$\$ at x = 1.

Melissa T.

\$\$ f(1) = 1^{4} -3(1)^{3} - 5(1)^{2} + 10 = 3 \$\$ \$\$ f'(x) = 4x^{3} - 9x^{2} - 10x \$\$ \$\$ f'(1) = 4(1)^{3} - 9(1)^{2} - 10(1) = -15 \$\$ The line tangent to the curve at x = 1 is \$\$ y - 3 = -15 (x-1) \$\$.

Algebra
TutorMe
Question:

Tanner goes to the grocery store to buy roses for his mom and snacks for himself. The roses cost \$2 each, and he wants to buy her at least 3. The snacks he wants to choose from cost \$1.50 each. He has \$12 to spend. Write two inequalities to represent this situation. Give two possible solutions.

Melissa T.

x= number of roses y= number of snacks \$\$ 2x + 1.5y <= 12 \$\$ \$\$ x>=3 \$\$ Tanner can buy 3 roses for his mom and 4 snacks OR he can buy 4 roses and 2 snacks.

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