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3 years ago

Which of the representations below has the same rate of change as the equation y=3x+5?

Mathematics

2 answers:

bija089 [108]3 years ago

8 0

B, the slope has to equal three, a equals two and b equals three

diamong [38]3 years ago

6 0

Rate of change is slope so you can tell right off that the graph does not represent it because the equation has a slope of 3 and the graph moves up2 and over 1which make sure slope 2
C is also not the answer because from what it says the equation for that should be y=5x+3 not y=3x+5 because in C the set number is 3 since that's what he started off with
You will use slope formula of y2-Y1/X2-X1 to see if b or d have slopes of 3
B POINTS USE 2 (1,4) (5,16)
D points are (1,3) (2,5) (3,7)
B: 16-4/5-1 =12/4=3
C: 5-3/2-1=2/1=2
Only B has the same slope

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3 years ago

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bonufazy [111]

Answer:

Yolanda will have a balance of $34,043.10 in 14 years.

Step-by-step explanation:

This is an Ordinary annuity question where you pick the hint from the equal and recurring monthly payment.

To find the Future value of Yolanda's savings after 14 years, use Future value of annuity formula FVA = $\frac{PMT}{r}[1-(1+r)^{-t} ]\\$

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r = discount rate; monthly rate in this case = 6% / 12 =0.5% or 0.005 as a decimal.

t = total duration ; 14 *12 = 168 months

Next, plug in the numbers into the FVA formula;

FVA = $\frac{300}{0.005} [ 1-(1+0.005)^{-168} ]$

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Therefore, Yolanda will have a balance of $34,043.10 in 14 years

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3 years ago

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4 years ago