Which equation matches the function described in the table?

Mathematics

1 answer:

BaLLatris [955]3 years ago

6 0

Answer:

y = 4x - 1

Step-by-step explanation:

Equation y = 4x - 1 matches the function described in the table.

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The Gomes family is on a road trip. On the first day, they drove a distance shown as 3 1/2 inches on a map. The actual distance

marissa [1.9K]

1/r = (3 1/2)/245
(3 1/2)r = 245
r = 245/3 1/2
r = 70

scale is 1 in to 70 miles.

6 0

3 years ago

A store bought pants at a wholesale price of $15. They retail the pants for $45. What is the amount of change? What is the perce

9966 [12]

Answer: Amount of change : $30

percent increase : 200%

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

Wholesale price: $15
Retail price: $45

To obtain the amount of change we have to subtract the wholesale price to the retail price:

Mathematically speaking:

45 -15 = $30

For the percent increase, the amount of change (30) is some percent of the original price (15). So:

30 / 15 =2 (decimal form)

If we multiply it by 100, the percentage is:

200%

3 0

3 years ago

Let x be the average number of employees in a group health insurance plan, and let y be the average administrative cost as a per

Step2247 [10]

A scatter diagram has points that show the relationship between two sets of data.

We have the following data,

$\left\begin{array}{ccccccc}\mathrm{x}&3&7&15&32&74\\\mathrm{y}&40&35&30&25&17\end{array}\right$

where x is the average number of employees in a group health insurance plan and y is the average administrative cost as a percentage of claims.

To make a scatter diagram you must, draw a graph with the independent variable on the horizontal axis (in this case x) and the dependent variable on the vertical axis (in this case y). For each pair of data, put a dot or a symbol where the x-axis value intersects the y-axis value.

Linear regression is a way to describe a relationship between two variables through an equation of a straight line, called line of best fit, that most closely models this relationship.

To find the line of best fit for the points, follow these steps:

Step 1: Find $X\cdot Y$ and $X\cdot X$ as it was done in the below table.

Step 2: Find the sum of every column:

$\sum{X} = 131 ~,~ \sum{Y} = 147 ~,~ \sum{X \cdot Y} = 2873 ~,~ \sum{X^2} = 6783$

Step 3: Use the following equations to find intercept a and slope b:

$\begin{aligned} a &= \frac{\sum{Y} \cdot \sum{X^2} - \sum{X} \cdot \sum{XY} }{n \cdot \sum{X^2} - \left(\sum{X}\right)^2} = \frac{ 147 \cdot 6783 - 131 \cdot 2873}{ 5 \cdot 6783 - 131^2} \approx 37.05 \\ \\b &= \frac{ n \cdot \sum{XY} - \sum{X} \cdot \sum{Y}}{n \cdot \sum{X^2} - \left(\sum{X}\right)^2} = \frac{ 5 \cdot 2873 - 131 \cdot 147 }{ 5 \cdot 6783 - \left( 131 \right)^2} \approx -0.292\end{aligned}$