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2 years ago

I need answers and explanation with ratios to help my daughter with homework

Mathematics

1 answer:

Leviafan [203]2 years ago

7 0

Using proportions, it is found that:

2. Bree types at a faster rate, as her ratio of 1.13 words per second is greater than Alan's rate of 0.83 words per second.

3. Bree also makes mistakes at a raster rate, as her rate of 0.375 mistakes per second is greater than Alan's rate of 0.33 mistakes per second.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

For each of Alan and Bree, we have to find the proportions of words typed per second and mistakes per second.

Then, for Alan:

Words typed per second: 5/6 = 0.83.

Mistakes per second: 2/6 = 0.33.

For Bree:

Words typed per second: 9/8 = 1.13.

Mistakes per second: 3/8 = 0.375.

Then:

2. Bree types at a faster rate, as her ratio of 1.13 words per second is greater than Alan's rate of 0.83 words per second.

3. Bree also makes mistakes at a raster rate, as her rate of 0.375 mistakes per second is greater than Alan's rate of 0.33 mistakes per second.

More can be learned about proportions at brainly.com/question/24372153

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which equation represents an exponential function that passes through the point (2, 80)? f(x) = 4(x)5 f(x) = 5(x)4 f(x) = 4(5)x

pav-90 [236]

we know that

if the exponential function passes through the given point, then the point must satisfy the equation of the exponential function

we proceed to verify each case if the point $(2,80)$ satisfied the exponential function

case A $f(x)=4(x^{5})$

For $x=2$ calculate the value of y in the equation and then compare with the y-coordinate of the point

$f(2)=4(2^{5})=128$

$128\neq 80$

therefore

the exponential function $f(x)=4(x^{5})$ not passes through the point $(2,80)$

case B $f(x)=5(x^{4})$

For $x=2$ calculate the value of y in the equation and then compare with the y-coordinate of the point

$f(2)=5(2^{4})=80$

$80=80$

therefore

the exponential function $f(x)=5(x^{4})$ passes through the point $(2,80)$

case C $f(x)=4(5^{x})$

For $x=2$ calculate the value of y in the equation and then compare with the y-coordinate of the point

$f(2)=4(5^{2})=100$

$100\neq 80$

therefore

the exponential function $f(x)=4(5^{x})$ not passes through the point $(2,80)$

case D $f(x)=5(4^{x})$

For $x=2$ calculate the value of y in the equation and then compare with the y-coordinate of the point

$f(2)=5(4^{2})=80$

$80=80$

therefore

the exponential function $f(x)=5(4^{x})$ passes through the point $(2,80)$

therefore

the answer is

$f(x)=5(x^{4})$

$f(x)=5(4^{x})$

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Answer:

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