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timama [110]
3 years ago
15

Dani's estimate for the cost of tiling her bathroom floor is $50 plus $3 per square foot. She says that she can model the cost w

ith a linear function. Is Dani correct? Explain your reasoning.

Mathematics
2 answers:
yulyashka [42]3 years ago
8 0

Yes I think she is because y = f(x) = a + bx.

All you need for a linear function is one independent variable and one dependent variable, and you have that.

Hope this helps, sorry if not, have a good day. c;

TiliK225 [7]3 years ago
4 0

Answer:

Yes.

Explanation:

There are <em>two variables</em>: The number of square feet and the cost of the job. The cost depends on the area of the bathroom floor.

The variables are

<em>Output</em>: C, cost in dollars

<em>Input:</em> n, number of square feet

The rate of change or <em>slope</em> is $3/ft².

The <em>initial value</em> is $50, the amount she must par above the cost of the flooring.

The rate of change is constant, so we can use a linear model of the form

y = mx +b or

C = mn +b

m = 3; b = 50

The linear function is

C = 3n + 50

===============

If the area of Dani's bathroom floor is 250 ft²,

C = 3 × 250 + 50

C = 750 +50

C = $800

This is the same cost predicted by the graph.


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4. She got 5 four point questions correct, 5x4=20. Then, you count by 3's from 20 until you get to 32.
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The sum of two numbers is 153. if four times the smaller number is subtracted from the larger​ number, the result is 18. find th
sleet_krkn [62]
X = larger number and y = smaller number

x + y = 153....x = 153 - y
x - 4y = 18

153 - y - 4y = 18
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4 0
3 years ago
This is my last question please help asap!!
Ivanshal [37]

The average rate of change of function g(x)=5(2)^{x} from x = 3 to x = 4 is 4 times that from x = 1 to x = 2.

The correct option is (A).

What is the average rate of change of a function?

The average rate at which one quantity changes in relation to another's change is referred to as the average rate of change function.

Using function notation, we can define the Average Rate of Change of a function f from a to b as:

                                     rate(m) = \frac{f(b)-f(a)}{b-a}

The given function is  g(x) = 5(2)^{x},

Now calculating the average rate of change of function from x = 1 to x = 2.

                               m = \frac{g(b)-g(a)}{b-a}\\ m = \frac{g(2)-g(1)}{2-1}\\\\m=\frac{5(2)^{2}-5(2)^1}{2-1}\\ m=\frac{10}{1} \\m=10

Now, calculate the average rate of change of function from x = 3 to x = 4.

                                 m = \frac{g(b)-g(a)}{b-a}\\ m = \frac{g(4)-g(3)}{4-3}\\\\m=\frac{5(2)^{4}-5(2)^3}{4-3}\\ m=\frac{40}{1} \\m=40

The jump from m = 10 to m = 40 is "times 4".

So option (A) is correct.

Hence, The average rate of change of function g(x)=5(2)^{x} from x = 3 to x = 4 is 4 times that from x = 1 to x = 2.

To learn more about the average rate of change of function, visit:

brainly.com/question/24313700

#SPJ1  

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Answer:

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Step-by-step explanation:

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Distributive Property:

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Subtract on Both Sides:

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Divide on Both Sides:

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2        2

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