Alba worked for 6 hr 45 min at $7.90 per hour. what numbers could she use to estimate how much money she earned? estimate the amount she earned, and the state whether you think the exact amount is a little more or a little less than your estimate.

Explanation:

a) I might choose 6 1/2 hours and $8 per hour, so the estimated earnings would be ...

  6(8) +(1/2)(8) = 52 dollars . . . . estimated earnings

These values are purposely chosen so that one is a little high and the other is a little low, hopefully producing a closer estimate than if both numbers were high (as 7 hours, $8, for example).

__

b) Using 800 instead of 790 means the pay estimate is about 1/80 = 1.25% high.

Using 6 1/2 instead of 6 3/4 means the hours estimate is about 1/27 ≈ 3.7% low.

So, we expect the product of these values to be slightly low, perhaps by about 2.5%.

Comment on estimating

If you can estimate the error in the estimate with some reasonable accuracy, you can use that to adjust the estimate to a pretty close value.

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3

2/3

step-by-step explanation:

the slope of a line is equal to the rise/run. in this case the line rises 2 units for every +3 units it moves