Lesson Example Discussion Quiz: Class Homework |
Quiz In Class |
Title: Linear Functions |
Grade: 1400-a Lesson: S1-L3 |
Explanation: Hello Students, time to practice and review. Let us take next 10-15 minutes to solve the ten problems using the Quiz Sheet. Then submit the quiz to get the score. This is a good exercise to check your understanding of the concepts. |
Quiz: in Class
Problem Id | Problem | Options |
---|---|---|
1 |
A window repair specialist charges $220 or the first two hours of repair plus an hourly fee for each additional hour. The total cost for 5 hours of repair is $400. Which function f gives the total cost, in dollars, for x hours of repair, where x ≥ 2? |
A) f(x) = 60x + 100 B) f(x) = 60x + 220 C) f(x) = 80x D) f(x) = 80x + 220 |
2 |
\$"F"("x") = 9/5 ("x" - 273.15) + 32\$ The function F gives the temperature, in degrees Fahrenheit, that corresponds to a temperature of x kelvins. If a temperature increased by 9.10 kelvins, by how much did the temperature increase, in degrees Fahrenheit? |
A) 48.38 B) 16.38 C) 475.29 D) 507.29 |
3 |
Oil and gas production in a certain area dropped from 4 million barrels in 2000 to 1.9 million barrels in 2013. Assuming that the oil and gas production decreased at a constant rate, which of the following linear functions f best models the production, in millions of barrels, t years after the year 2000? |
A) \$"f"("t") = 21/(130) t + 4\$ B) \$"f"("t") = 19/(130) t + 4\$ C) \$"f"("t") = - 21/(130) t + 4\$ D) \$"f"("t") = - 19/(130) t + 4\$ |
4 |
A taxi company charges a fixed fee plus a rate per mile for a ride. If a ride of 10 miles costs $25 and a ride of 20 miles costs $40, what is the fixed fee and the rate per mile? |
A) x = 15$, y = 1.5$ B) x = 20$, y = 2.5$ C) x = 50$, y = 3.5$ D) x = 10$, y = 1.5$ |
5 |
Milk production in a certain area dropped from 10 million cartons in 2000 to 2.7 million cartons in 2018. I was assuming that milk production decreased at a constant rate, which of the following linear functions f best models the production, in millions of cartons, t years after 2000? |
A) \$"f"("t") = (73/180)"t" + 10\$ B) \$"f"("t") = (27/180)"t" + 10\$ C) \$ "f"("t") = (- 27/180)"t" + 10\$ D) \$ "f"("t") = (- 73/180) "t" + 10\$ |
6 |
An economist modeled the demand Q for a certain product as a linear function of the selling price P. The demand was 20,000 units when the selling price was $40 per unit, and the market was 15,000 units when the selling price was $60 per unit. Based on the model, what is the demand, in units, when the selling price is $55 per unit? |
A) 17,500 B) 16,500 C) 16,250 D) 16,750 |
7 |
The functions f and g are defined as \$f("x") = (1/4)"x" - 9\$ and \$"g"("x") = (3/4)"x" + 21\$. If the function is defined as h(x) = f(x) + g(x) what is the x-coordinate of the x-intercept of the graph of y = h(x) in the xy-plane? |
A) - 21 B) - 12 C) 21 D) 12 |
8 |
A chemist needs to mix a solution that is 40% alcohol with a solution that is 70% alcohol to create 100 liters of a 50% alcohol solution. How many liters of each solution should the chemist use? |
A) 66.67 liters and 33.33 liters B) 76.66 liters and 33.33 liters C) 66.67 liters and 36.33 liters D) 76.66 liters and 36.33 liters |
9 |
For the linear function f, the table shows three values of x and their corresponding f(x) values. Function f is defined by f(x) = a + b, where a and b are constants. What is the value of a - b? |
A) - 64 B) 192 C) 128 D) 62 |
10 |
An investment account offers a linear growth rate. If the account balance was $10,000 two years ago and is $12,500 now, find the linear function that represents the account balance over time and predict the balance in 5 years. |
A) $16,524 B) $16,205.00 C) $16,250.00 D) $16,254 |
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