Question

which value is equivalent to $(3.68 \times 10^{6}) \div (6.4 \times 10^{-3})$?

you are buying 18 packs of assorted chips. each pack cost $13 each but you have a $5 coupon which reduces the total cost.

write an equation in slope-intercept form that models the total cost (y) for purchasing any number of cases of chips (x).

tuesday

$4 \times 10^{-5} - 1.1 \times 10^{-8} =$

which equation best represents the data in the scatter plot?
a. $y=2x + 0.9$
b. $y=0.9x + 2$
c. $y=x$
d. $y=2x$

Explanation:

First Problem:

Step1: Split into coefficient and power parts

$\frac{3.68}{6.4} \times \frac{10^6}{10^{-3}}$

Step2: Calculate coefficient division

$\frac{3.68}{6.4} = 0.575$

Step3: Calculate power of 10 division

$\frac{10^6}{10^{-3}} = 10^{6 - (-3)} = 10^9$

Step4: Combine results

$0.575 \times 10^9 = 5.75 \times 10^8$

Step1: Define slope and intercept

Slope = cost per pack = 13; Intercept = -5 (coupon)

Step2: Write slope-intercept form

$y = mx + b$ where $m=13$, $b=-5$

Step1: Check y-intercept

When $x=0$, $y\approx2$, so $b\approx2$

Step2: Calculate approximate slope

Use points $(0,2)$ and $(8,9)$: $m=\frac{9-2}{8-0}=0.875\approx0.9$

Step3: Match to options

Equation matches $y=0.9x+2$

Answer:

$5.75 \times 10^8$

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Second Problem: