What is a unit rate? — A rate with a denominator of 1.A unit rate always has a denominator of 1, telling you the amount per single unit.
To divide a fraction by another fraction, you should: — Flip the second fraction (the divisor) and multiply.Dividing by a fraction means multiplying by its reciprocal — flip the second fraction, then multiply.
What is (1/2) ÷ (1/4)? — 2.(1/2) × (4/1) = 4/2 = 2.
What is the reciprocal of 3/7? — 7/3.The reciprocal of 3/7 is 7/3 — flip the numerator and denominator.
Which expression correctly shows how to find the unit rate of (7/8) ÷ (7/4)? — (7/8) × (4/7).Divide by multiplying by the reciprocal of 7/4, which is 4/7.
Which of the following represents a unit rate? — 30 miles per hour."30 miles per hour" already expresses the rate per 1 unit of time — it is a unit rate.
What does it mean if the unit rate is greater than 1? — You get more than 1 unit of the numerator per unit of denominator.A unit rate > 1 means you have MORE of the first quantity per single unit of the second quantity.
What equation represents a proportional relationship? — y = kx.A proportional relationship is written as y = kx where k is the constant of proportionality and there is no added constant.
Which key feature must a graph have to show a proportional relationship? — Passes through the origin (0, 0).A proportional relationship always passes through (0, 0) — the origin — because when x = 0, y = k × 0 = 0.
What does the constant of proportionality k represent on a graph? — The slope of the line.In y = kx, k is the slope — the rise over run for every point on the line.
If y = 6 when x = 2, what is k? — 3.k = y/x = 6/2 = 3.
A table shows: x = 1 → y = 7, x = 2 → y = 14, x = 3 → y = 21. Is this proportional? — Yes, k = 7 for every pair.y/x = 7/1 = 14/2 = 21/3 = 7. The ratio is constant, so it is proportional with k = 7.
A graph passes through (0, 0) and (4, 10). What is k? — 2.5.k = y/x = 10/4 = 2.5.
If k = 8, what is y when x = 6? — 48.y = kx = 8 × 6 = 48.
Oranges cost $2.50 per pound. Which equation models the total cost C for p pounds? — C = 2.50p.Total cost = price per pound × number of pounds, so C = 2.50p. This is y = kx with k = 2.50.
The graph of y = kx passes through (5, 35). What is k? — 7.k = y/x = 35/5 = 7.
A store sells notebooks for $2 each. Is the total cost proportional to the number bought? — Yes, with k = 2.Total cost = 2 × number of notebooks. This is y = 2x, a proportional relationship with k = 2.
Which graph represents a proportional relationship? — A straight line through the origin.A proportional relationship graphs as a STRAIGHT LINE through the ORIGIN — no curves, no y-intercept offset.
How do you convert a percent to a decimal? — Divide by 100.To convert a percent to a decimal, divide by 100. For example, 45% = 45 ÷ 100 = 0.45.
What is 20% of $60? — $12.$60 × 0.20 = $12.
A $50 item is on sale for 30% off. What is the sale price? — $35.Discount = $50 × 0.30 = $15. Sale price = $50 − $15 = $35.
What is the simple interest formula? — I = P × r × t.Simple Interest I = Principal × rate × time (I = Prt).
You invest $200 at 5% annual interest for 4 years. How much interest do you earn? — $40.I = 200 × 0.05 × 4 = $40.
What is 35% of 140? — 49.140 × 0.35 = 49.
Quick mental math: What is 15% of $80? — $12.10% of $80 = $8. 5% = $4. 15% = $8 + $4 = $12.
75 is what percent of 300? — 25%.75/300 = 0.25 = 25%.