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nikitadnepr [17]
3 years ago
10

Hallie used a birthday check her mother gave her to start a savings account. She plans to save $25 per month as well. After 9 mo

nths, hallow has $300. Write and solve a linear equation to find the original check amount from hallies mother.
Mathematics
1 answer:
Julli [10]3 years ago
6 0

Answer:

[x + (9 - 1) 25] = 300

$100

Step-by-step explanation:

Hallie's mother gave her a birthday check of $x to start a savings account.

She also plans to save $25 per month as well.

So, after 9 months Hallie has in her account $[x + (9 - 1) 25]

Therefore, from the given condition we can write that  

[x + (9 - 1) 25] = 300 ......... (1) (Answer)

⇒ x + 200 = 300

⇒ x = $100

So, the original check amount from Hallie's mother was $100. (Answer)

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Answer:

(a) rate of change = 8

(b) Function: y = 8x

(c) Domain: 0 ≤ x ≤ 2

    Range: 0 ≤ y ≤ 16

Explanation:

Looks like a inverse variation sequence.

Inverse Variation formula: y = k(x)

Take two points: (1, 8), (2, 16)

Find the value of k which is constant also considered as <u>rate of change</u>.

<u>Insert values</u>:

  • 8 = k(1)
  • k = 8

===========

  • 16 = k(2)
  • k = 8

Equation: y = 8x

Domain lies in the x axis, Range lies in the y axis.

  • Here domain: 0 ≤ x ≤ 2
  • Here range: 0 ≤ y ≤ 16
5 0
1 year ago
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How does the graph show that the rate of change is constant
ElenaW [278]

A graph can show that a rate of change is constant as long as the graph is of a straight line.

Any curvature in the line suggests a rate of change that is variable, but otherwise it is constant.

7 0
3 years ago
100 POINTSSS! ASAP ANSWEERR PLS
Margarita [4]

PART A

Given:

f(x) = 0.69(1.03)x

To find:

If the price of the product is increasing or decreasing and by what percentage

Steps:

we know the formula to find the price of Product A per year, so

f(1) = 0.69 * 1.03 * 1

Price = $0.7107

f(2) = 0.69 * 1.03 * 2

Price = $1.4214

Here the Price of Product after 2 years is greater than the price of Product after one year. So the price of the product A is increasing.

Now to find percentage increase,

Percentage increase = \frac{FV-SV}{SV}*100        (FV = final value, SV = starting value)

Percentage increase = \frac{1.4214 - 0.7107}{0.7107}*100

Percentage increase = \frac{0.7107}{0.7107}*100

Percentage increase = 100 %

Therefore, the percentage increase of Product A is 100%

PART B

Given:

Price of product B in 1st year = $10,100

Price of product B in 2nd year = $10,201

Price of product B in 3rd year = $10,303.01

Price of product B in 4th year = $10,406.04

To find:

Which product recorded a greater percentage change over the previous year

Steps:

We need to find the percentage change of Product B and Product A of each year. We know that the percentage change of product A is 100 % for each year, so we only need to calculate for product B

PC of product B from 1st to 2nd year = \frac{10,201-10,100}{10,100}*100

                                                             = \frac{101}{10,100}*100

                                                             = 0.01 * 100

                                                             = 1 %

PC of product B from 2nd to 3rd year = \frac{10,303.01-10,201}{10,201} *100

                                                              = 1%

PC of product B from 3rd to 4th year =\frac{10,406.04-10,303.01}{10,303.01}*100

                                                              ≈ 1%

So, percentage change of product B is 1% per year

Therefore, Product A has greater percentage change

Happy to help :)

If u need more help, feel free to ask

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Richard and Linda enjoy visiting Hilton Head Island, South Carolina. The distance from their home to Hilton Head is 870 mi, so t
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Answer:

696 miles at the first day, and 174 miles at the second day.

Step-by-step explanation:

Given:

Richard and Linda enjoy visiting Hilton Head Island, South Carolina.

The distance from their home to Hilton Head is 870 miles.

So, the drive takes them 2 days.

<u>Richard and Linda travel four times as far the first day as they do the second day.</u>

Question asked:

How many miles do they travel each day?

Solution:

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Then Richard and Linda traveled at the second day will be = 4x\ miles

Total distance from their home to Hilton Head = 870 miles

Traveled at the first day in miles + Traveled at the second day = 870

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By substituting the value:

Richard and Linda traveled at the first day = x\ miles = 174 miles

Richard and Linda traveled at the second day will be =  4x\ miles

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