Mathematical Modeling

The diagram shows the data collected for the number of customers, y , who visit a restaurant after x days.

Which of the following is the most appropriate model used to represent the above data?

• Linear model

• Cubic model

• Quadratic model

• Exponential model

The diagram shows the data collected for the profit(RM) versus sales for a retail shop.

Which of the following is the most appropriate model used to represent the above data?

• Linear model

• Quadratic model

• Cubic model

• Exponential model

What is the possible function for this model?

What is the possible function for this model?

The iCycle Club is organizing a recycling campaign in a neighbourhood. They setup one-stop recycling collection centre around the neighbourhood and would like to study their usage rate. Which of the following is a valid assumption about how many people would make use of the one- stop centre?

• It is assumed that 100% of the people near the one-stop center would use it.

• It is assumed that none of the people near the one-stop center would use it.

• It is assumed that 20% of the people near the one-stop center would use it based on a previous research study.

• It is assumed that 90% of the people near the one-stop center would use it as their house is within 0.5 km from the one-stop centers.

A local donut shop charged $6.50 for a dozen and provided a coupon in the newspaper for $1.50 off an order. Since the donut shop has gained popularity they have changed their coupon which now provides a discount of only half their original coupon's value. What is the equation that represents the value of a customer's order who uses the new coupon with their order?

• y = 6.50x - 0.75
• y = 6.50x + 0.75
• y = 6.50x - 1.50 - 0.75
• y = 5x - 0.75

Heather is a hairdresser and her customers pay $5 to reserve an appointment time and $12 for every hour Heather works on their hair style. As a back to school special she offers to lower her price per hour by $5. What equation represents the total amount paid to Heather, y, after x hours of hair styling?

• y = 5 + 12x
• y = 12x
• y = 7x + 5
• y = 12x + 12

Valley Video charges a $15 annual fee plus $3 per movie for rentals. Last year, Jennifer spent $99 at the video store. How many movies did she rent? Write the linear equation and solve for the number of movies.

• 15x + 3x = 99    and 6 movies
• 15x + 3 = 99 and 6 movies
• 3x + 15 = 99 and 28 movies
• 3x + 99 = 15 and 28 movies

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