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valentinak56 [21]
3 years ago
12

The table shows a person saving money at a constant rate. How much is this person saving per week?

Mathematics
1 answer:
padilas [110]3 years ago
3 0

Answer:

We conclude that the person is saving $60 dollars per week.

Hence, option C is true.                        

Step-by-step explanation:

Given the table chart

Week                   Saving Money

2                           60

4                           120

6                           180

8                           240

We know to determine the slope to find the rate of change.

Taking the points (2, 60) and (4, 120)

Rate of change = Slope =  [y₂ - y₁] / [x₂ - x₁]

                                        = [120 - 60] / [4 - 2]

                                        = 60 / 2

                                        = $30 dollars per week

Now, taking the points (4, 120) and (6, 180)

Rate of change = Slope =  [180 - 120] / [6 - 4]

                                        = [60] / [2]

                                        = $30 dollars per week

Now, taking the points (6, 180) and (8, 240)

Rate of change = Slope =  [240 - 180] / [8 - 6]

                                        = [60] / [2]

                                        = $30 dollars per week        

  • This concludes that the rate of change is contant i.e. $30 dollars per week

Therefore, we conclude that the person is saving $60 dollars per week.

Hence, option C is true.                        

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3 years ago
Josh attempted 56 free throws during the basketball season. He made 57 of them. How many free throws did he make?
Scorpion4ik [409]

Answer:

He made approximately 32 free throws.

Step-by-step explanation:

Assuming that there's a typo in the question and that he made 57% of his attempted free throws, then we can solve it as shown below:

We can apply a rule of three in order to calculate the number of free throws he made. This is done as follows:

56 free throws -> 100%

x free throws -> 57%

56/x = 100/57

100*x = 57*56

x = 57*56/100 = 31.92

It can also be solved by transforming the percentage in a fraction such as 57% = 57/100 and then multiplying it by the total attempts.

free throws made = 56*57/100 = 31.92

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7 0
3 years ago
A student has 8 pints of iced tea in a pitcher. The amount of iced tea in the pitcher is a function of x, the amount of iced tea
Reptile [31]

Answer: The domain is:

0 pints ≤ x ≤ 8 pints.

Step-by-step explanation:

When we have a function:

y = f(x)

The domain is the set of the possible values of x (the possible inputs).

In this case, the value of x represents the amount of tea that she has poured from the pitcher.

Now, initialy the pitcher has 8 pints, so the smallest possible value of x is 0 pints (when she has not pured anithing) and the maximum value of x is 8 pints (when she has poured all the 8 pints).

So we have the domain:

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3 0
3 years ago
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Anastaziya [24]

To answer this set of questions, all we have to do is just to substitute the value of x in F(x) to the given f(x) equation. 

By substitution and following PEMDAS rule:<span>
F(-1)=2(-1)³-3(-1)²+7=5</span>

F(1)=2(1)³-3(1)²+7=6

F(2)=2(2)³-3(2)²+7=11

Therefore the answers are 5, 6 and 11.

<span> </span>

8 0
3 years ago
Read 2 more answers
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brilliants [131]
20C2, the answer is 190
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