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Check it out!. For each problem, write an equation to represent the situation and then answer the question . - PowerPoint PPT Presentation
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For each problem, write an equation to represent the situation and then answer the question.
1. Willem buys 4 mangoes each week, and mango prices vary from week to week. Write an equation that represents the cost of the mangoes. If each mango costs $1 this week, what is the total cost of his mangoes for this week?
2. Kerin drives at a speed of 55 miles per hour on the highway for her job. Write an equation that represents the distance she travels. If one day she drives for 6 hours, how many miles did she travel?
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3.6.1: Building Functions from Context
3. Mr. Stevens teaches 4 math classes. Depending on absences, the number of students in each class varies. Write an equation that represents the number of students Mr. Stevens teaches in a day. If there are 30 students in each class and one day all of the students were present, how many students did Mr. Stevens teach that day?
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3.6.1: Building Functions from Context
4. Jessica reads approximately 12 pages of her novel each hour. Depending on extracurricular activities and homework, the time that Jessica has to read varies. Write an equation that represents the number of pages Jessica reads. If Jessica read for 3 hours yesterday, approximately how many pages did she read?
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3.6.1: Building Functions from Context
1. Willem buys 4 mangoes each week, and mango prices vary from week to week. Write an equation that represents the cost of the mangoes. If each mango costs $1 this week, what is the total cost of his mangoes for this week?• Let the total cost of the mangoes = c.• Let the price of each mango = p.• The number of mangoes = 4.
total cost = the number of mangoes • the price of each mangoc = 4p
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3.6.1: Building Functions from Context
• If the cost of mangoes = $1, substitute 1 in for p.c = 4pc = 4(1)c = 4
• The total cost for Willem to buy mangoes this week is $4.
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3.6.1: Building Functions from Context
2. Kerin drives at a speed of 55 miles per hour on the highway for her job. Write an equation that represents the distance she travels. If one day she drives for 6 hours, how many miles did she travel?• Let distance = d.• Let time = t.• The rate = 55 mph.
distance = rate • timed = 55t
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3.6.1: Building Functions from Context
• If the time = 6 hours, substitute 6 in for t.d = 55td = 55(6)d = 330
• Kerin drove 330 miles that day.
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3.6.1: Building Functions from Context
3. Mr. Stevens teaches 4 math classes. Depending on absences, the number of students in each class varies. Write an equation that represents the number of students Mr. Stevens teaches in a day. If there are 30 students in each class and one day all of the students were present, how many students did Mr. Stevens teach that day? • Let the total number of students Mr. Stevens
teaches = t.• Let the number of students in each class = s.• The number of classes = 4.
t = 4s9
3.6.1: Building Functions from Context
• If Mr. Stevens has 30 students in each class and all of them are present, substitute 30 in for s.t = 4st = 4(30)t = 120
• Mr. Stevens taught 120 students on the day when all of his students were present.
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3.6.1: Building Functions from Context
4. Jessica reads approximately 12 pages of her novel each hour. Depending on extracurricular activities and homework, the time that Jessica has to read varies. Write an equation that represents the number of pages Jessica reads. If Jessica read for 3 hours yesterday, approximately how many pages did she read?• Let the number of hours Jessica has to read = h.• Let the total number of pages = p.• The number of pages per hour = 12.
p = 12h
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3.6.1: Building Functions from Context
• If the number of hours = 3, substitute 3 in for h.p = 12hp = 12(3)p = 36
• Jessica read 36 pages of her novel.
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3.6.1: Building Functions from Context
