Identify the variation as direct, inverse, joint or combined.
The cost of the number of the same articles purchased varying with the number purchased.
and
Identify the variation as direct, inverse, joint or combined.
R=cl/r^2
and
Identify the variation as direct, inverse, joint or combined.
If the area of a rectangle stays constant, the relationship between the base and the height
If a varies directly as b, and a = 28 when b = 7, find b when a = 5.
4/5
5/4
39.2
Two quantities vary inversely. If the value of the first is 15 when the value of the second is 18, find the value of the second quantity when the first is 10.
p varies directly as q. When q = 31.2, p = 20.8. Find p when q = 15.3
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1) cost increases with the number purchased, so this is a direct variation
2) R varies combined with l and r (because l is in the numerator and r is in the denominator, it is called combined) -- nb: I assume c is a constant.
3) base = constant / height, so this is an inverse variation
4) since we have a direct variation, the ratio of a and b must be constant, and we see 7 is one quarter of 28, so if a = 5 then b = 5/4 = 1.25
5) since we have an inverse variation, the product of the values must be constant, and we see 15*18 = 270. So when one of the values if 10, the other must be 27.
6) since we have a direct variation, the ratio of p and q must be constant, and we see that 31.2 / 20.8 = 3/2, so if q = 15.3, then p = 15.3 / 3 * 2 = 10.2