The equation in slope-intercept form for this function is y = 8 x
The slope represents the unit cost
A party for 40 people would cost $320
Step-by-step explanation:
The linear equation in the form of slope-intercept is:
y = mx + b, where m is the slope of the line and b is the y-intercept
A caterer charges $120 to cater a party for 15 people and $200 for
25 people.
Assume that the cost, y, is a linear function of the number of people x
We need to write an equation in slope-intercept form for this function
We need to explain that the slope represent what
We need to find how much a party for 40 people would cost
∵ The slope-intercept form of the equation is y = mx + c
∵ y is the cost and x is the number of people
∴ x = 15 and y = 120 is a point on the line
∴ x = 25 and y = 200 is another point on the line
- Now we can use them to find the slope of the line
∵
∴ m = 8
∴ y = 8 x + b
- To find b substitute x by 15 and y by 120 in the equation
∴ 120 = 8(15) + b
∴ 120 = 120 + b
- Subtract 120 from both sides
∴ b = 0
∴ y = 8 x
The equation in slope-intercept form for this function is y = 8 x
∵ The slope = change of y ÷ change of x
∴ The slope = cost ÷ number of people
∴ The slope represents the cost per person
The slope represents the unit cost
∵ There are 40 people
∴ x = 40
∵ The equation of the cost is y = 8 x
∴ y = 8 × 40
∴ y = 320
∴ The cost is $320
A party for 40 people would cost $320
Learn more:
You can learn more about the linear function in brainly.com/question/4152194
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Answer:
x ≈ 23.31
Step-by-step explanation:
We can use the law of cosines because we know 2 sides and 1 angle.
The general formula for the law of cosines if the triangle sides are a, b,c and α is the angle between sides a and b. c is the missing side.
In our problem the law of cosines is
x =
x ≈ 23.31
The Cecile factored the polynomial correctly by factor 16 x squared minus 9 using the X-method of factorization.
<h3>What is factor of polynomial?</h3>Factor of a polynomial is the terms in linear form, which are when multiplied together, give the original polynomial equation as result.
The given polynomial expression is,
Now, Cecile add 0x as,
Now, here the product of 16 and 9 is 144. Therefore, the factors must have the product of 144 and sum of 0. Thus, by using the split the factor method as,
Thus, the Cecile factored the polynomial correctly by factor 16 x squared minus 9 using the X-method of factorization.
Learn more about factor of polynomial here;