1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
german
2 years ago
6

Plums cost $0.77 per pound Mangoes cost $1.32 per pound Write an expression that can be used to find the cost of buying p pounds

of plums and m pounds of mangoes
Mathematics
1 answer:
marissa [1.9K]2 years ago
4 0

Answer:

The graphs below show the cost y of buying x pounds of fruit. One graph shows the cost of buying x pounds of peaches, and the other shows the cost of buying x pounds of plums.

Which kind of fruit costs more per pound? Explain.

Bananas cost less per pound than peaches or plums. Draw a line alongside the other graphs that might represent the cost y of buying x pounds of bananas.

IM Commentary

This task allows students to reason about the relative costs per pound of the two fruits without actually knowing what the costs are. Students who find this difficult may add a scale to the graph and reason about the meanings of the ordered pairs. Comparing the two approaches in a class discussion can be a profitable way to help students make sense of slope.

Solutions

Solution: Slope as Unit Rate

The graph that represents the cost of x pounds of peaches is steeper, so it must have a larger slope. The slope can be interpreted as the unit rate; in this case it tells you the cost of a single pound of fruit.

Since the slope for the peach graph is greater than the slope of the plum graph, the cost of a pound of peaches is greater than the cost of a pound of plums.

For b, students should realize that the cost per pound of bananas will be represented by a slope that is less than either of the other two, and draw a line through the origin labeled "Bananas" and lying below both of the other graphs.

Solution: Adding a scale to the graph

Students who prefer to work with specific numbers can approach this problem by sketching in a scale on the x-axis and y-axis. For example, if they decided that a pound of peaches might cost a dollar, then they might plot the point (1,1) on the line labeled "Peaches", then fill out the rest of the scale accordingly. They could then read off the cost of a pound of plums and see that it is less than for peaches.

For the second question, they could choose any price per pound b for bananas that is less than the one they read off for plums, and then draw a line from the origin through the point (b, 1), and label it "Bananas".

You might be interested in
A bookstore manager marks down the price of older hardcover books, which originally sell for b dollars, by 52%.
mafiozo [28]

Complete question :

A bookstore manager marks down the price of older hardcover books, which originally sell for b dollars, by 52%.

a. Write the markdown as a decimal. b. Write an expression for the sale price of the hardcover book.

Answer:

0.52 ; 0.52b

Step-by-step explanation:

The markdown percentage = 52%

Expresaing markdown as a decimal :

52% = 52 / 100 = 0.52

Expression for the sale price of hardcover book:

Original price = b

Price was marked down by 0.52

Hence, sales price becomes ;

Original price * markdown

b * 0.52

0.52b

3 0
2 years ago
Write a system of two equations in two variables to solve the problem. when fully extended, a ladder is 28 feet in length. if th
Alisiya [41]
Let the base of the ladder be x ft and the extension be y ft.

"when fully extended, a ladder is 28 feet in length."

means: x+y=28

"<span>the extension is 4 feet shorter than the base</span>"

means: y=x-4,   that is x-y = 4, (taking y to the side of x, and -4 to the other side of x and y)

thus, we have the system of equations:

1) x+y= 28 

2) x-y=4

adding the 2 equations, we have:

(x+y)+(x-y)=28+4

2x=32

x=32/2=16


x+y=28, so 16+y=28, thus y=12


Answer: Base: 16, Extension 12
5 0
3 years ago
How can I answer "write a problem that can be solved by acting it out and with using reasoning?"
Zielflug [23.3K]
So acting, eh?

you can walk 10 steps in 5 seconds
how many steps can you walk in 25 seconds?
(walk to test this thingie)
reasoning is 25 is 5 times 5 so 10 times 5=50 so 50 steps
3 0
3 years ago
A man is 30 years older than his son. In 6 years'
solniwko [45]

Answer:

the man (Dad) is 36 years old and the boy (Son‍) is 18 years old

Step-by-step explanation:

3 0
3 years ago
Mr. Miranda borrowed $8,800 for 12 months at simple interest to pay for a new swimming pool. If Mr. Miranda paid the bank a tota
kaheart [24]

The answer would be b, or 1.4%.

4 0
2 years ago
Other questions:
  • Probability:
    9·1 answer
  • Shark Inc. has determined that demand for its newest netbook model is given by lnq−3lnp+0.004p=7ln⁡q−3ln⁡p+0.004p=7, where q is
    10·1 answer
  • Solve for r: A = 2 πrh​
    12·1 answer
  • Integer for 13-yard gain
    6·1 answer
  • What are the slope and the y-intercept of the linear function that is represented by the table?
    11·1 answer
  • Free for all<br> gl<br> :) dun dun DUN
    14·1 answer
  • P- 24/n = 30/100<br><br> What’s N?<br><br> Z- n/4 = 18/72<br><br> What’s N?
    6·1 answer
  • The price of XYZ stock fluctuates widely. In January it closed at $3.50 but In February it Closed at $2.25. However at the end o
    6·1 answer
  • What is the result a transformation called?
    5·2 answers
  • Need help struggling with this question
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!