3. If Earth was 10 times farther away from the sun than it is now, which planet would it be closest to? (Assume all the planets
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Let's let x be the number of t-shirts.
So the first company charges $43 plus $9 per shirt. For x shirts, the cost is the base fee plus 9 times x, or
.
The second company charges a $58 fee plus $8 per shift. The cost is
.
Now, we want to find which fee is less when we are buying 20 shirts. We plug in 20 for x.
The first company charges
.
The second company charges
.
The costs are VERY close, but the second company ultimately charges less.
So the first company charges $43 plus $9 per shirt. For x shirts, the cost is the base fee plus 9 times x, or
The second company charges a $58 fee plus $8 per shift. The cost is
Now, we want to find which fee is less when we are buying 20 shirts. We plug in 20 for x.
The first company charges
The second company charges
The costs are VERY close, but the second company ultimately charges less.
because y^3 is raised to the power of two, we will have to multiply the exponents rather than adding them.
By distributing the power of 2, we will get y^2(6).
Because now the exponents are being multiplied, we can just add them to get y^8. The other y has a power of 1, so we'll just add the power of that y as well to get y^9.
summary:
multiply exponents if they are being raised to a power.
add exponents if they are being multiplied, and only add them if they have the same base (in this case, both the bases of the exponents are y, so we can add them)
