Mathematics, 25.12.2019 22:31 chayaharroch03

Awoman is now 8 times as old as her son michael. two years ago, she was 15 times as old as michael. form an equation and solve it.

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-- Let's call Michael's age 'S' (for 'son')

-- Right now his mother's age is 8 times his age ... 8s

-- Two years ago ...

   son was (S - 2) years old

   mother was (8s -2) years old.

   she was 15 times her son's age.

-- So    (8s - 2) = 15(s - 2) <=== this is the equation

8s - 2 = 15s - 30

- 2 =    7s - 30

28 =    7s

4 = s <=== this is the solution to the equation

-- Michael is 4 now.
   His mother is (8s) = 32

-- Two years ago, Michael was 2 .
    His mother was (8s - 2) = 30

   30 = 15 x 2    yay !

Answer from: Quest

step-by-step explanation:

i think something is missing in your question because y-1=(x-12) would not pass through the point (-4,-3). because if you replace x by -4 your are supposed to find y=-3 which is not the case her. if you replace x by -4 you find =-15.

i assume the right equation is y-1=1/4*(x-12) because this one is passing through both your points (if you are interested to know how i found that out i can tell you).

in this equation if i replace x by -4 i find y=-3 and if i replace x by 12, i find y=1 so the line representing this equation is passing through those 2 points.

then the standard form of the equation is finding an expression of y in function of x

y-1=1/4*(x-12)

y=x/4-3+1

y=x/4-2

hope that .

do you confirm there was a mistake in the question?

Answer from: Quest

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 = $6^{2}$

x = 3, y = 216 = $6^{3}$

x = 4, y = 1296 = $6^{4}$

x = 5, y = 7776 = $6^{5}$

so, the geometric series obtained is $6, 6^{2}, 6^{3}, 6^{4}, 6^{5}$ .

thus, the common ratio is given by $\frac{6^{2}}{6}$ = $\frac{36}{6}$ = 6.

hence, the common ratio is 6.

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Awoman is now 8 times as old as her son michael. two years ago, she was 15 times as old as michael....

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