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trasher [3.6K]
3 years ago
9

Joan and Ernie are earning money for summer camp. Joan receives a $7 weekly allowance plus $6 for each hour she helps her father

paint. Ernie writes the equation LaTeX: y\:=\:5x\:+7y = 5 x + 7 to represent the relationship between the number of hours he helps his father with yard work and his weekly allowance.
Which person has the greater rate of change?
Which person has the greater y – intercept?
Which has more money at 10 weeks?

Choose all that apply

Joan has more money in 10 weeks

Joan has the greatest rate of change

Joan has the greatest y-intercept

They have the same amount of money in 10 weeks

Their rate of change is the same

Ernie has the greatest rate of change

Ernie has more money in 10 weeks

Ernie has the greatest y-intercept

Their y-intercepts are the same
Mathematics
1 answer:
AysviL [449]3 years ago
3 0

Answer:

6x+7

Step-by-step explanation:

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Step-by-step explanation:

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___

You seem to have ...

  \dfrac{2^5\times8^4}{16}=\dfrac{2^5\times(2^3)^4}{2^4}\qquad (a=3)\\\\=\dfrac{2^5\times2^{3\cdot4}}{2^4}=\dfrac{2^5\times2^{12}}{2^4}\qquad (b=12)\\\\=2^{5+12-4}=2^{13}\qquad(c=13)

_____

<em>Additional comment</em>

I find it easy to remember the rules of exponents by remembering that <em>an exponent signifies repeated multiplication</em>. It tells you how many times the base is a factor in the product.

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Similarly, division cancels factors from numerator and denominator, so decreases the number of times the base is a factor.

  \dfrac{(2\cdot2\cdot2)}{(2\cdot2)}=2\\\\\dfrac{2^3}{2^2}=2^{3-2}=2^1

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