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Marrrta [24]
3 years ago
11

A catering company uses different functions to estimate the itemized costs for a party. The table below represents the included

tip for wait staff as a function of the number of guests served. A table showing Catering Cost for Wait Staff Gratuity with two columns and 6 rows. The first column has, Number of Guests, and has the entries, 10, 20, 30, 40, 50. The second column, Wait Staff Tip, has the entries, $18, $36, $54, $72, $90. If the tip varies directly with the number of guests, which equation represents the relationship between the tip, t, and the number of guests, g?
Mathematics
2 answers:
dlinn [17]3 years ago
7 0

Answer:

Step-by-step explanation:

If the tip varies directly with the number of guests, it means that an increase in the amount of tip would be as a result of an increase in the number of guests and a decrease in the amount of tip would be as a result of an decrease in the number of guests.

If we introduce a constant of proportionality, k , the relationship would be

t = kg

Given that

When t = 18, g = 10, then

18 = k × 10

k = 18/10 = 1.8

Therefore, the equation representing the relationship is

t = 1.8g

Murljashka [212]3 years ago
6 0

Answer:

c

Step-by-step explanation:

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$13:50 to 6 pounds what the ratio
AleksAgata [21]

Answer:

$2.25: 1 pound

Step-by-step explanation:

13.50 divided by 6= 2.25

6 divided by 6= 1

5 0
3 years ago
A. 231<br> B. 39<br> C. 129<br> D. 51
VladimirAG [237]

Answer:

the answer is

129

Step-by-step explanation:

cyclic

3 0
3 years ago
1. Kyle has a baseball game after school. He drives 6 miles due west from his home to school. After school, he drives 5 miles du
sweet-ann [11.9K]

Answer:

D. 7.8 miles.

Step-by-step explanation:

So, to solve this, you need to use the Pythagorean theorem to find the distance from the baseball field to his home. You know two of the sides of the triangle formed, 6 and 5. The Pythagorean theorem is a² + b² = c². In this case, it would be 6² + 5² = c². If you solve this, you would find that c is 7.81024967591. Just round it to the nearest tenth like instructed. This would get you 7.8 as the answer.

Extra work just in case:

6² + 5² = c²

36 + 25 = c²

61 = c²

\sqrt{61} = \sqrt{c^{2} }

7.8 ≈ c

Visual just in case:

8 0
3 years ago
Write an equation of the line that passes through the given point and is perpendicular to the graph of the given equation. Pleas
Anna71 [15]

Answer:

y = \frac{1}{3}x + 4

Step-by-step explanation:

First, to figure out the equation of a line you must find the slope then plug in the coordinates.

In order to find the slope of the equation, you know that it is perpendicular to the equation y = -3x + 7.

Perpendicular slopes are basically reciprocals with opposite signs; you flip the number and give it the opposite symbol.

For example, the perpendicular slope of 2 would -1/2, because flipping the fraction 2/1 is 1/2 and the opposite sign of + would be -.

Therefore, the perpendicular slope of -3 would be 1/3, be 3/1 flipped upside down is 1/3 and the opposite sign of - is +.

Then you plug in the slope into the equation of a line along with the coordinate.

A line is y = mx + b

Since you found the slope, m = 1/3

They also give you the coordinate (3,5), meaning when x = 3, the y =5.

You plug everything into the equation to solve for b:

5 = (1/3)(3) + b

b = 5 - (1/3 * 3) = 5 - 1 = 4

Since you have values for m and b, the equation can now be constructed as

y = 1/3x + 4

6 0
3 years ago
I NEED THE ANSWER PRONTO CUZ I'M DOING THE TEST RIGHT NOW!!!!!Devon made the scatter plot to track his bank balance over time.
11Alexandr11 [23.1K]
It should be <span>y=15x+250</span>
4 0
3 years ago
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