Resourcesdown chevron
Testimonials
Plans
Sign in
Sign up
Resourcesright arrow
Testimonials
Plans
Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Last Sunday, the average temperature was 8% higher than the average temperature two Sundays ago. The average temperature two Sundays ago was T degrees Celsius. Which of the following expressions could represent the average temperature last Sunday? Choose 2 answers: A 1.08 T B T+0.08 c T+8 D (1+(8)/(100))T E 1.8 T

Last Sunday, the average temperature was 8% 8 \% higher than the average temperature two Sundays ago. The average temperature two Sundays ago was T T degrees Celsius.\newlineWhich of the following expressions could represent the average temperature last Sunday?\newlineChoose 22 answers:\newlineA) 1.08T 1.08 T \newlineB) T+0.08 T+0.08 \newlineC) T+8 T+8 \newlineD) (1+8100)T \left(1+\frac{8}{100}\right) T \newlineE) 1.8T 1.8 T

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Grade 8right chevron icon
Identify equivalent linear expressions: word problemsright chevron icon

Full solution

Q. Last Sunday, the average temperature was 8% 8 \% higher than the average temperature two Sundays ago. The average temperature two Sundays ago was T T degrees Celsius.\newlineWhich of the following expressions could represent the average temperature last Sunday?\newlineChoose 22 answers:\newlineA) 1.08T 1.08 T \newlineB) T+0.08 T+0.08 \newlineC) T+8 T+8 \newlineD) (1+8100)T \left(1+\frac{8}{100}\right) T \newlineE) 1.8T 1.8 T
  1. Calculate 8%8\% Increase: To find the average temperature last Sunday, which was 8%8\% higher than the average temperature two Sundays ago, we need to increase the temperature from two Sundays ago by 8%8\%. The temperature two Sundays ago is given as TT degrees Celsius.
  2. Convert Percentage to Decimal: An 8%8\% increase can be calculated by multiplying the original amount by 11 plus the percentage increase expressed as a decimal. To convert a percentage to a decimal, we divide by 100100. Therefore, 8%8\% as a decimal is 8100\frac{8}{100} or 0.080.08.
  3. Multiply Original Temperature: Now we multiply the original temperature TT by 1+0.081 + 0.08 to find the new temperature. This gives us T×(1+0.08)T \times (1 + 0.08) which simplifies to T×1.08T \times 1.08.
  4. Check Answer Choices: We can now check the answer choices to see which ones match our expression T×1.08T \times 1.08. Choice A is 1.08T1.08T, which matches our expression exactly.
  5. Identify Correct Representations: Choice D is (1+(8100))T(1 + (\frac{8}{100}))T, which simplifies to (1+0.08)T(1 + 0.08)T, which is also T×1.08T \times 1.08. So, choice D is also a correct representation of the average temperature last Sunday.
  6. Identify Correct Representations: Choice D is (1+(8100))T(1 + (\frac{8}{100}))T, which simplifies to (1+0.08)T(1 + 0.08)T, which is also T×1.08T \times 1.08. So, choice D is also a correct representation of the average temperature last Sunday.Choices B, C, and E do not correctly represent an 8%8\% increase. Choice B is T+0.08T + 0.08, which would only add 0.080.08 degrees to TT, not 8%8\%. Choice C is T+8T + 8, which adds 88 degrees to TT, not 8%8\%. Choice E is (1+0.08)T(1 + 0.08)T22, which would represent an (1+0.08)T(1 + 0.08)T33 increase, not 8%8\%.

More problems from Identify equivalent linear expressions: word problems

Question
Simplify the expression:\newline7z2+3z27z^2 + 3z^2 \newline ______
Get tutor helpright-arrow

Posted 7 months ago

Question
Simplify the expression:\newline10f+8f−9f−6f10f + 8f - 9f - 6f\newline____
Get tutor helpright-arrow

Posted 7 months ago

Question
Subtract.\newline(3h+6)−(3h+2)(3h + 6) - (3h + 2)\newline____
Get tutor helpright-arrow

Posted 7 months ago

Question
Simplify the expression:\newline2p−p2p - p \newline______
Get tutor helpright-arrow

Posted 8 months ago

Question
A school charges $6\$6 per ticket to a dance. They spend $300\$300 on music and decorations. The expression 6n−3006n-300 describes the amount of profit the school makes from the dance if nn students buy tickets. What does 6n6n represent in this context?\newlineChoices:\newline(A)The amount of money the school charges for all `\n` tickets\newline(B)The amount of money the school spends on the dance\newline(C)The number of students who buy tickets\newline(D)The profit the school earns per ticket
Get tutor helpright-arrow

Posted 8 months ago

Question
Which is equal to cos⁡60∘ \cos 60^\circ ? \newlineChoices:\newline(A) sin⁡30∘ \sin 30^\circ \newline(B) sin⁡60∘ \sin 60^\circ \newline(C) cos⁡30∘ \cos 30^\circ \newline(D) cos⁡60∘ \cos 60^\circ
Get tutor helpright-arrow

Posted 9 months ago

Question
Which is equal to sin⁡45∘\sin 45^\circ? \newlineChoices:\newline(A) cos⁡45∘\cos 45^\circ\newline(B) cos⁡55∘\cos 55^\circ\newline(C) sin⁡55∘\sin 55^\circ\newline(D) sin⁡35∘\sin 35^\circ
Get tutor helpright-arrow

Posted 7 months ago

Question
Which is equal to cos⁡75∘\cos 75^\circ? \newlineChoices:\newline(A) sin⁡15∘\sin 15^\circ\newline(B) sin⁡75∘\sin 75^\circ\newline(C) cos⁡15∘\cos 15^\circ\newline(D) cos⁡25∘\cos 25^\circ
Get tutor helpright-arrow

Posted 7 months ago

Question
Which is equal to sin⁡30∘ \sin 30^\circ ? \newlineChoices:\newline(A) cos⁡60∘ \cos 60^\circ \newline(B) cos⁡30∘ \cos 30^\circ \newline(C) sin⁡60∘ \sin 60^\circ \newline(D) sin⁡30∘ \sin 30^\circ
Get tutor helpright-arrow

Posted 7 months ago

Question
Which is equal to cos⁡45∘ \cos 45^\circ ? \newlineChoices:\newline(A) sin⁡45∘ \sin 45^\circ \newline(B) sin⁡55∘ \sin 55^\circ \newline(C) cos⁡55∘ \cos 55^\circ \newline(D) cos⁡35∘ \cos 35^\circ
Get tutor helpright-arrow

Posted 7 months ago

View all (34)

Related topics

Algebra - Order of OperationsAlgebra - Distributive Property`X` and `Y` AxesGeometry - Scalene TriangleCommon MultipleGeometry - Quadrant